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Books > Science & Mathematics > Mathematics > Algebra > Groups & group theory

Wavelets Through a Looking Glass - The World of the Spectrum (Paperback, Softcover reprint of the original 1st ed. 2002): Ola... Wavelets Through a Looking Glass - The World of the Spectrum (Paperback, Softcover reprint of the original 1st ed. 2002)
Ola Bratteli; Illustrated by B. Treadway; Palle Jorgensen
R1,590 Discovery Miles 15 900 Ships in 10 - 15 working days

ADVAI\CES in communication, sensing, and computational power have Jed to an cxplosion of data. The size and varied formats for these datasets challenge existing techniqucs for transmission, storage, querying, display, and numerical manipula tion. This Ieads to the paradoxical situation where experiments or numerical com pulations produce rich, detailed inforrnation, for which, at this point, no adequate analysis tools exist. -Conference annow cement, Joint IDR-1/v A Workshop on Ideal Data Nepresentaticm, Minneapolis, R. De\'ore and A. Ron, cJ/gani ers Wavelct theory stands on the interface betwccn signal processing and harmonic analy sis, the rnathematical tools involved in digitizing continuous data with a vicw to storage, and thc synthesis proccss, recreating, for cxample, a picturc or time signal from stored data. The algorithms involved go under the name of tilter banks, and their spectacular efticiency derivcs in patt from the use of hidden self-similarity, relati\ c to somc scaling operation, in the daLJ. being analyzed. Observations or time signals are functions, and classes of functions make up linear spaces. Numcrical correlations add structure to thc spaccs at hand, Hilbcrt spaces. There are opcrators in the spaces deriving lrom the dis crcte data and others from the spaces of continuous signals. The first type arc good for computations, whilc the sccond retlect the real world. The operators between thc two are the focus of the prescnt monograph. Relations between operations in thc discrete xn Preface and continuous domains are studied as symbols."

The Schroedinger-Virasoro Algebra - Mathematical structure and dynamical Schroedinger symmetries (Paperback, 2012 ed.): Jeremie... The Schroedinger-Virasoro Algebra - Mathematical structure and dynamical Schroedinger symmetries (Paperback, 2012 ed.)
Jeremie Unterberger, Claude Roger
R1,536 Discovery Miles 15 360 Ships in 10 - 15 working days

This monograph provides the first up-to-date and self-contained presentation of a recently discovered mathematical structure the Schrodinger-Virasoro algebra. Just as Poincare invariance or conformal (Virasoro) invariance play a key role in understanding, respectively, elementary particles and two-dimensional equilibrium statistical physics, this algebra of non-relativistic conformal symmetries may be expected to apply itself naturally to the study of some models of non-equilibrium statistical physics, or more specifically in the context of recent developments related to the non-relativistic AdS/CFT correspondence.

The study of the structure of this infinite-dimensional Lie algebra touches upon topics as various as statistical physics, vertex algebras, Poisson geometry, integrable systems and supergeometry as well as representation theory, the cohomology of infinite-dimensional Lie algebras, and the spectral theory of Schrodinger operators."

Finite Simple Groups - An Introduction to Their Classification (Paperback, Softcover reprint of the original 1st ed. 1982):... Finite Simple Groups - An Introduction to Their Classification (Paperback, Softcover reprint of the original 1st ed. 1982)
Daniel Gorenstein
R3,376 Discovery Miles 33 760 Ships in 10 - 15 working days

In February 1981, the classification of the finite simple groups (Dl)* was completed,t. * representing one of the most remarkable achievements in the history or mathematics. Involving the combined efforts of several hundred mathematicians from around the world over a period of 30 years, the full proof covered something between 5,000 and 10,000 journal pages, spread over 300 to 500 individual papers. The single result that, more than any other, opened up the field and foreshadowed the vastness of the full classification proof was the celebrated theorem of Walter Feit and John Thompson in 1962, which stated that every finite group of odd order (D2) is solvable (D3)-a statement expressi ble in a single line, yet its proof required a full 255-page issue of the Pacific 10urnal of Mathematics [93]. Soon thereafter, in 1965, came the first new sporadic simple group in over 100 years, the Zvonimir Janko group 1 , to further stimulate the 1 'To make the book as self-contained as possible. we are including definitions of various terms as they occur in the text. However. in order not to disrupt the continuity of the discussion. we have placed them at the end of the Introduction. We denote these definitions by (DI). (D2), (D3). etc.

Etudes sur les Groupes Abeliens / Studies on Abelian Groups - Colloque sur la Theorie des Groupes abeliens tenu a... Etudes sur les Groupes Abeliens / Studies on Abelian Groups - Colloque sur la Theorie des Groupes abeliens tenu a l'Universite de Montpellier en juin 1967 (English, French, Paperback, 1968 ed.)
Bernard Charles
R1,544 Discovery Miles 15 440 Ships in 10 - 15 working days

Liste des participants et des conferences Table des matieres BAER R. Kollineationen primaerer Praemoduln [1] 1 [2] BAER R. Dualisierbare I!oduln und Praemoduln 37 [3] BEAtJ:IOllT R.A. Abelian groups Gwhich satisty G :: G EPK for every direct summand K of G 69 Sous-groupes fonctoriels et topologies [4J CHARLES B. 75 CUTLER D.O. A topology for primary abelian groups 93 [5J [6] FALTINGS K. Automorphismengruppen endlicher abelscher p-gruppen. 101 [7] FUCHS L. Note on purity and algebraic compactness for modules 121 [8] GP.ABE P.J. Der iterierte Ext-Funktor, seine Periodicitat und die dadurch definierten Klassen abelscher Gruppen ** 131 The Jacobson radieal of seme endomorphism rings 143 HAIlW F. [9J HAUSEr, J. Autemorphismengesattigte Klassen abzahlbarer [1OJ abelschen Gruppen ******************************** 147 [llJ HILL P. and;mGIBBElI C. Direct sums of countable bToups and gene- lizations **************************************** 183 ImIDI J.J.!. On topologie al methods in abclian groups 207 [12J KOLETTIS G. Homogeneous decomposable modules 223 [13] 'Endemorphism rings of abelian p-groups LIEBERT 11. 239 [14J l*lADER A. Extensions of abelian groups 259 [15J Sur les proprietes universelles des foncteurs HARlU.DA J. [i6J adjoints ******************.********************.* 267 J.lARTY R. Radieal, soele et relativisation 287 [17] Torsion and cotorsion campletions **************** [18] llIUES R. 301 A note on endanorphism rings of abelian p-groups 305 [19J m.ITUCE R.

Collected Papers - Gesammelte Abhandlungen (English, German, Paperback, 1998. Reprint 2013 of the 1998 edition): Ina Kersten Collected Papers - Gesammelte Abhandlungen (English, German, Paperback, 1998. Reprint 2013 of the 1998 edition)
Ina Kersten; Ernst Witt
R1,931 Discovery Miles 19 310 Ships in 10 - 15 working days

Ernst Witt, 1911-1991, was one of the most ingenious mathematicians of this century and has decisively shaped the development of various mathematical fields like algebra, number theory, group theory, combinatorics and Lie theory. This volume offers a complete collection of Witt's research papers; it also contains never before published articles, facsimiles and photos. Commentary by other authors provide an excellent survey on the further development of these mathematical fields.

An Introduction to Hopf Algebras (Paperback, 2011 ed.): Robert G Underwood An Introduction to Hopf Algebras (Paperback, 2011 ed.)
Robert G Underwood
R1,521 Discovery Miles 15 210 Ships in 10 - 15 working days

Only book on Hopf algebras aimed at advanced undergraduates

Infinite Linear Groups - An Account of the Group-theoretic Properties of Infinite Groups of Matrices (Paperback, Softcover... Infinite Linear Groups - An Account of the Group-theoretic Properties of Infinite Groups of Matrices (Paperback, Softcover reprint of the original 1st ed. 1973)
Bertram Wehrfritz
R1,508 Discovery Miles 15 080 Ships in 10 - 15 working days

By a linear group we mean essentially a group of invertible matrices with entries in some commutative field. A phenomenon of the last twenty years or so has been the increasing use of properties of infinite linear groups in the theory of (abstract) groups, although the story of infinite linear groups as such goes back to the early years of this century with the work of Burnside and Schur particularly. Infinite linear groups arise in group theory in a number of contexts. One of the most common is via the automorphism groups of certain types of abelian groups, such as free abelian groups of finite rank, torsion-free abelian groups of finite rank and divisible abelian p-groups of finite rank. Following pioneering work of Mal'cev many authors have studied soluble groups satisfying various rank restrictions and their automor phism groups in this way, and properties of infinite linear groups now play the central role in the theory of these groups. It has recently been realized that the automorphism groups of certain finitely generated soluble (in particular finitely generated metabelian) groups contain significant factors isomorphic to groups of automorphisms of finitely generated modules over certain commutative Noetherian rings. The results of our Chapter 13, which studies such groups of automorphisms, can be used to give much information here."

Oeuvres - Collected Papers III - 1972 - 1984 (English, French, Paperback, 2003. Reprint 2013 of the 2003 edition): Jean-Pierre... Oeuvres - Collected Papers III - 1972 - 1984 (English, French, Paperback, 2003. Reprint 2013 of the 2003 edition)
Jean-Pierre Serre
R2,020 Discovery Miles 20 200 Ships in 10 - 15 working days

The impact and influence of Jean-Pierre Serre's work have been notable ever since his doctoral thesis on homotopy groups. The abundance of significant results and deep insight contained in his research and survey papers ranging through topology, several complex variables, and algebraic geometry to number theory, group theory, commutative algebra and modular forms, continues to provide inspiring reading for mathematicians working in these areas, in their research and their teaching. Characteristic of Serre's publications are the many open questions he formulated suggesting further research directions. Four volumes specify how he has provided comments on and corrections to most articles, and described the present status of the open questions with reference to later results. Jean-Pierre Serre is one of a few mathematicians to have won the Fields medal, the Abel prize, and the Wolf prize.

Mathematical Methods for Physics - An Introduction to Group Theory, Topology and Geometry (Hardcover): Esko Keski-Vakkuri,... Mathematical Methods for Physics - An Introduction to Group Theory, Topology and Geometry (Hardcover)
Esko Keski-Vakkuri, Claus Montonen, Marco Panero
R1,463 Discovery Miles 14 630 Ships in 9 - 17 working days

This detailed yet accessible text provides an essential introduction to the advanced mathematical methods at the core of theoretical physics. The book steadily develops the key concepts required for an understanding of symmetry principles and topological structures, such as group theory, differentiable manifolds, Riemannian geometry, and Lie algebras. Based on a course for senior undergraduate students of physics, it is written in a clear, pedagogical style and would also be valuable to students in other areas of science and engineering. The material has been subject to more than twenty years of feedback from students, ensuring that explanations and examples are lucid and considered, and numerous worked examples and exercises reinforce key concepts and further strengthen readers' understanding. This text unites a wide variety of important topics that are often scattered across different books, and provides a solid platform for more specialized study or research.

Psychological Perspectives on Radicalization (Paperback): Allard Feddes, Lars Nickolson, Liesbeth Mann, Bertjan Doosje Psychological Perspectives on Radicalization (Paperback)
Allard Feddes, Lars Nickolson, Liesbeth Mann, Bertjan Doosje
R1,244 Discovery Miles 12 440 Ships in 12 - 19 working days

This innovative book examines radicalization from new psychological perspectives by examining the different typologies of radicalizing individuals, what makes individuals resilient against radicalization, and events that can trigger individuals to radicalize or to deradicalize. What is radicalization? Which psychological processes or events in a person's life play a role in radicalization? What determines whether a personal is resilient against radicalization, and is deradicalization something that we can achieve? This book goes beyond previous publications on this topic by identifying concrete key events in the process of radicalization, providing a useful theoretical framework that summarizes the current state-of-the-art research on radicalization and deradicalization. A model is presented in which a distinction is made between different levels of radicalization and deradicalization, with key underlying psychological needs discussed: the need for identity, justice, significance, and sensation. The authors also describe what makes people resilient against messages from "the outside world" when they belong to an extremist group and discuss observable events which may "trigger" a person to radicalize (further) or to deradicalize. Including real-world examples and clear guidelines for interventions aimed at prevention of radicalization and stimulation of deradicalization, this is essential reading for policy makers, researchers, practitioners, and students interested in this crucial societal issue.

Probability Measures on Groups X (Paperback, Softcover reprint of the original 1st ed. 1991): H. Heyer Probability Measures on Groups X (Paperback, Softcover reprint of the original 1st ed. 1991)
H. Heyer
R5,641 Discovery Miles 56 410 Ships in 10 - 15 working days

The present volume contains the transactions of the lOth Oberwolfach Conference on "Probability Measures on Groups." The series of these meetings inaugurated in 1970 by L. Schmetterer and the editor is devoted to an intensive exchange of ideas on a subject which developed from the relations between various topics of mathematics: measure theory, probability theory, group theory, harmonic analysis, special functions, partial differential operators, quantum stochastics, just to name the most significant ones. Over the years the fruitful interplay broadened in various directions: new group-related structures such as convolution algebras, generalized translation spaces, hypercomplex systems, and hypergroups arose from generalizations as well as from applications, and a gradual refinement of the combinatorial, Banach-algebraic and Fourier analytic methods led to more precise insights into the theory. In a period of highest specialization in scientific thought the separated minds should be reunited by actively emphasizing similarities, analogies and coincidences between ideas in their fields of research. Although there is no real separation between one field and another - David Hilbert denied even the existence of any difference between pure and applied mathematics - bridges between probability theory on one side and algebra, topology and geometry on the other side remain absolutely necessary. They provide a favorable ground for the communication between apparently disjoint research groups and motivate the framework of what is nowadays called "Structural probability theory."

Probability Theory (Paperback, 2013 ed.): Alexandr A Borovkov Probability Theory (Paperback, 2013 ed.)
Alexandr A Borovkov
R3,005 Discovery Miles 30 050 Ships in 10 - 15 working days

This self-contained, comprehensive book tackles the principal problems and advanced questions of probability theory and random processes in 22 chapters, presented in a logical order but also suitable for dipping into. They include both classical and more recent results, such as large deviations theory, factorization identities, information theory, stochastic recursive sequences. The book is further distinguished by the inclusion of clear and illustrative proofs of the fundamental results that comprise many methodological improvements aimed at simplifying the arguments and making them more transparent. The importance of the Russian school in the development of probability theory has long been recognized. This book is the translation of the fifth edition of the highly successful Russian textbook. This edition includes a number of new sections, such as a new chapter on large deviation theory for random walks, which are of both theoretical and applied interest. The frequent references to Russian literature throughout this work lend a fresh dimension and make it an invaluable source of reference for Western researchers and advanced students in probability related subjects. Probability Theory will be of interest to both advanced undergraduate and graduate students studying probability theory and its applications. It can serve as a basis for several one-semester courses on probability theory and random processes as well as self-study.

The Kepler Problem - Group Theoretical Aspects, Regularization and Quantization, with Application to the Study of Perturbations... The Kepler Problem - Group Theoretical Aspects, Regularization and Quantization, with Application to the Study of Perturbations (Paperback, Softcover reprint of the original 1st ed. 2003)
Bruno Cordani
R2,923 Discovery Miles 29 230 Ships in 10 - 15 working days

Because of the correspondences existing among all levels of reality, truths pertaining to a lower level can be considered as symbols of truths at a higher level and can therefore be the "foundation" or support leading by analogy to a knowledge of the latter. This confers to every science a superior or "elevating" meaning, far deeper than its own original one. - R. GUENON, The Crisis of Modern World Having been interested in the Kepler Problem for a long time, I have al ways found it astonishing that no book has been written yet that would address all aspects of the problem. Besides hundreds of articles, at least three books (to my knowledge) have indeed been published al ready on the subject, namely Englefield (1972), Stiefel & Scheifele (1971) and Guillemin & Sternberg (1990). Each of these three books deals only with one or another aspect of the problem, though. For example, En glefield (1972) treats only the quantum aspects, and that in a local way. Similarly, Stiefel & Scheifele (1971) only considers the linearization of the equations of motion with application to the perturbations of celes tial mechanics. Finally, Guillemin & Sternberg (1990) is devoted to the group theoretical and geometrical structure."

Lattices, Semigroups, and Universal Algebra (Paperback, Softcover reprint of the original 1st ed. 1990): Jorge Almeida,... Lattices, Semigroups, and Universal Algebra (Paperback, Softcover reprint of the original 1st ed. 1990)
Jorge Almeida, Gabriela Bordalo, Philip Dwinger
R4,364 Discovery Miles 43 640 Ships in 10 - 15 working days

This volume contains papers which, for the most part, are based on talks given at an international conference on Lattices, Semigroups, and Universal Algebra that was held in Lisbon, Portugal during the week of June 20-24, 1988. The conference was dedicated to the memory of Professor Antonio Almeida Costa, a Portuguese mathematician who greatly contributed to the development of th algebra in Portugal, on the 10 anniversary of his death. The themes of the conference reflect some of his research interests and those of his students. The purpose of the conference was to gather leading experts in Lattices, Semigroups, and Universal Algebra and to promote a discussion of recent developments and trends in these areas. All three fields have grown rapidly during the last few decades with varying degrees of interaction. Lattice theory and Universal Algebra have historically evolved alongside with a large overlap between the groups of researchers in the two fields. More recently, techniques and ideas of these theories have been used extensively in the theory of semigroups. Conversely, some developments in that area may inspire further developments in Universal Algebra. On the other hand, techniques of semi group theory have naturally been employed in the study of semilattices. Several papers in this volume elaborate on these interactions.

Buildings (Paperback, Softcover reprint of the original 1st ed. 1989): Kenneth S. Brown Buildings (Paperback, Softcover reprint of the original 1st ed. 1989)
Kenneth S. Brown
R1,502 Discovery Miles 15 020 Ships in 10 - 15 working days

For years I have heard about buildings and their applications to group theory. I finally decided to try to learn something about the subject by teaching a graduate course on it at Cornell University in Spring 1987. This book is based on the not es from that course. The course started from scratch and proceeded at a leisurely pace. The book therefore does not get very far. Indeed, the definition of the term "building" doesn't even appear until Chapter IV. My hope, however, is that the book gets far enough to enable the reader to tadle the literat ure on buildings, some of which can seem very forbidding. Most of the results in this book are due to J. Tits, who originated the the ory of buildings. The main exceptions are Chapter I (which presents some classical material), Chapter VI (which prcsents joint work of F. Bruhat and Tits), and Chapter VII (which surveys some applications, due to var ious people). It has been a pleasure studying Tits's work; I only hope my exposition does it justice.

Manifolds and Lie Groups - Papers in Honor of Yozo Matsushima (Paperback, Softcover reprint of the original 1st ed. 1981): J... Manifolds and Lie Groups - Papers in Honor of Yozo Matsushima (Paperback, Softcover reprint of the original 1st ed. 1981)
J Hano, H Ozeki, K. Okamoto, S. Murakami, A Morimoto
R1,568 Discovery Miles 15 680 Ships in 10 - 15 working days

This volume is the collection of papers dedicated to Yozo Matsushima on his 60th birthday, which took place on February 11, 1980. A conference in Geometry in honor of Professor Matsushima was held at the University of Notre Dame on May 14 and 15, 1980. Some of the papers in this volume were delivered on this occasion. 0 00 0\ - 15 S. Kobayashi, University 27 R. Ogawa, Loyola 42 P. Ryan, Indiana 1 W. Stoll 2 W. Kaup, University of of California at Berkeley University (Chicago) University at South Bend Tubing en 16 B. Y. Chen, 28 A. Howard 43 M. Kuga, SUNY at 3 G. Shimura, Michigan State University 29 D. Blair, Stony Brook Princeton University 17 G. Ludden, Michigan State University 44 W. Higgins 30 B. Smyth 4 A. Borel, Institute for Michigan State University 45 J. Curry Advanced Study 18 S. Harris, 31 A. Pradhan 46 D. Norris 32 R. Escobales, 5 Y. Matsushima University of Missouri 47 J. Spellecy Canisius College 6 Mrs. Matsushima 19 J. Beem, 48 M. Clancy 7 K. Nomizu, University of Missouri 33 L. Smiley 49 J. Rabinowitz, University 20 D. Collins, 34 C. H. Sung Brown University of Illinois at Chicago Valparaiso University 35 M. Markowitz 8 J. -1. Hano, 50 R. Richardson, Australian Washington University 36 A. Sommese 21 I. Satake, University of National University California at Berkeley 37 A. Vitter, 9 J. Carrell, University of 51 D. Lieberman, 22 H.

Weyl Transforms (Paperback, Softcover reprint of the original 1st ed. 1998): M.W. Wong Weyl Transforms (Paperback, Softcover reprint of the original 1st ed. 1998)
M.W. Wong
R1,486 Discovery Miles 14 860 Ships in 10 - 15 working days

A study of the functional analytic properties of Weyl transforms as bounded linear operators on $ L2u(aBbb Runu) $ in terms of the symbols of the transforms. Further, the boundedness, the compactness, the spectrum and the functional calculus of the Weyl transform are proved in detail, while new results and techniques on the boundedness and compactness of the Weyl transforms in terms of the symbols in $ Lru(aBbb Ru2nu) $ and in terms of the Wigner transforms of Hermite functions are given. The roles of the Heisenberg group and the symplectic group in the study of the structure of the Weyl transform are explained, and the connections of the Weyl transform with quantization are highlighted throughout the book. Localisation operators, first studied as filters in signal analysis, are shown to be Weyl transforms with symbols expressed in terms of the admissible wavelets of the localisation operators. The results and methods mean this book is of interest to graduates and mathematicians working in Fourier analysis, operator theory, pseudo-differential operators and mathematical physics.

Products of Conjugacy Classes in Groups (Paperback, 1985 ed.): Zvi Arad, Marcel Herzog Products of Conjugacy Classes in Groups (Paperback, 1985 ed.)
Zvi Arad, Marcel Herzog
R1,288 Discovery Miles 12 880 Ships in 10 - 15 working days
Manifolds of Nonpositive Curvature (Paperback, Softcover reprint of the original 1st ed. 1985): Werner Ballmann, Misha Gromov,... Manifolds of Nonpositive Curvature (Paperback, Softcover reprint of the original 1st ed. 1985)
Werner Ballmann, Misha Gromov, Viktor Schroeder
R3,169 Discovery Miles 31 690 Ships in 10 - 15 working days

This volume presents a complete and self-contained description of new results in the theory of manifolds of nonpositive curvature. It is based on lectures delivered by M. Gromov at the College de France in Paris. Therefore this book may also serve as an introduction to the subject of nonpositively curved manifolds. The latest progress in this area is reflected in the article of W. Ballmann describing the structure of manifolds of higher rank.

Foundations of Time-Frequency Analysis (Paperback, Softcover reprint of the original 1st ed. 2001): Karlheinz Groechenig Foundations of Time-Frequency Analysis (Paperback, Softcover reprint of the original 1st ed. 2001)
Karlheinz Groechenig
R4,841 Discovery Miles 48 410 Ships in 10 - 15 working days

Time-frequency analysis is a modern branch of harmonic analysis. It com prises all those parts of mathematics and its applications that use the struc ture of translations and modulations (or time-frequency shifts) for the anal ysis of functions and operators. Time-frequency analysis is a form of local Fourier analysis that treats time and frequency simultaneously and sym metrically. My goal is a systematic exposition of the foundations of time-frequency analysis, whence the title of the book. The topics range from the elemen tary theory of the short-time Fourier transform and classical results about the Wigner distribution via the recent theory of Gabor frames to quantita tive methods in time-frequency analysis and the theory of pseudodifferential operators. This book is motivated by applications in signal analysis and quantum mechanics, but it is not about these applications. The main ori entation is toward the detailed mathematical investigation of the rich and elegant structures underlying time-frequency analysis. Time-frequency analysis originates in the early development of quantum mechanics by H. Weyl, E. Wigner, and J. von Neumann around 1930, and in the theoretical foundation of information theory and signal analysis by D."

Orthogonal Polynomials for Exponential Weights (Paperback, Softcover reprint of the original 1st ed. 2001): Eli Levin, Doron S.... Orthogonal Polynomials for Exponential Weights (Paperback, Softcover reprint of the original 1st ed. 2001)
Eli Levin, Doron S. Lubinsky
R1,579 Discovery Miles 15 790 Ships in 10 - 15 working days

The analysis of orthogonal polynomials associated with general weights has been a major theme in classical analysis this century. In this monograph, the authors define and discuss their classes of weights, state several of their results on Christoffel functions, Bernstein inequalities, restricted range inequalities, and record their bounds on the orthogonal polynomials, as well as their asymptotic results. This book will be of interest to researchers in approximation theory, potential theory, as well as in some branches of engineering.

The Orbit Method in Geometry and Physics - In Honor of A.A. Kirillov (Paperback, Softcover reprint of the original 1st ed.... The Orbit Method in Geometry and Physics - In Honor of A.A. Kirillov (Paperback, Softcover reprint of the original 1st ed. 2003)
Christian Duval, Laurent Guieu, Valentin Ovsienko
R2,931 Discovery Miles 29 310 Ships in 10 - 15 working days

The orbit method influenced the development of several areas of mathematics in the second half of the 20th century and remains a useful and powerful tool in such areas as Lie theory, representation theory, integrable systems, complex geometry, and mathematical physics. Among the distinguished names associated with the orbit method is that of A.A. Kirillov, whose pioneering paper on nilpotent orbits (1962), places him as the founder of orbit theory. The original research papers in this volume are written by prominent mathematicians and reflect recent achievements in orbit theory and other closely related areas such as harmonic analysis, classical representation theory, Lie superalgebras, Poisson geometry, and quantization. Contributors: A. Alekseev, J. Alev, V. Baranovksy, R. Brylinski, J. Dixmier, S. Evens, D.R. Farkas, V. Ginzburg, V. Gorbounov, P. Grozman, E. Gutkin, A. Joseph, D. Kazhdan, A.A. Kirillov, B. Kostant, D. Leites, F. Malikov, A. Melnikov, P.W. Michor, Y.A. Neretin, A. Okounkov, G. Olshanski, F. Petrov, A. Polishchuk, W. Rossmann, A. Sergeev, V. Schechtman, I. Shchepochkina. The work will be an invaluable reference for researchers in the above mentioned fields, as well as a useful text for graduate seminars and courses.

Lie Groups, Lie Algebras, and Their Representations (Paperback, Softcover reprint of the original 1st ed. 1984): V. S.... Lie Groups, Lie Algebras, and Their Representations (Paperback, Softcover reprint of the original 1st ed. 1984)
V. S. Varadarajan
R2,427 Discovery Miles 24 270 Ships in 10 - 15 working days

This book has grown out of a set of lecture notes I had prepared for a course on Lie groups in 1966. When I lectured again on the subject in 1972, I revised the notes substantially. It is the revised version that is now appearing in book form. The theory of Lie groups plays a fundamental role in many areas of mathematics. There are a number of books on the subject currently available -most notably those of Chevalley, Jacobson, and Bourbaki-which present various aspects of the theory in great depth. However, 1 feei there is a need for a single book in English which develops both the algebraic and analytic aspects of the theory and which goes into the representation theory of semi simple Lie groups and Lie algebras in detail. This book is an attempt to fiii this need. It is my hope that this book will introduce the aspiring graduate student as well as the nonspecialist mathematician to the fundamental themes of the subject. I have made no attempt to discuss infinite-dimensional representations. This is a very active field, and a proper treatment of it would require another volume (if not more) of this size. However, the reader who wants to take up this theory will find that this book prepares him reasonably well for that task."

An Introduction to the Theory of Groups (Paperback, 4th ed. 1995. Softcover reprint of the original 4th ed. 1995): Joseph J.... An Introduction to the Theory of Groups (Paperback, 4th ed. 1995. Softcover reprint of the original 4th ed. 1995)
Joseph J. Rotman
R2,193 Discovery Miles 21 930 Ships in 10 - 15 working days

Anyone who has studied abstract algebra and linear algebra as an undergraduate can understand this book. The first six chapters provide material for a first course, while the rest of the book covers more advanced topics. This revised edition retains the clarity of presentation that was the hallmark of the previous editions. From the reviews: "Rotman has given us a very readable and valuable text, and has shown us many beautiful vistas along his chosen route." --MATHEMATICAL REVIEWS

Drinfeld Moduli Schemes and Automorphic Forms - The Theory of Elliptic Modules with Applications (Paperback, 2013 ed.): Yuval Z... Drinfeld Moduli Schemes and Automorphic Forms - The Theory of Elliptic Modules with Applications (Paperback, 2013 ed.)
Yuval Z Flicker
R1,929 Discovery Miles 19 290 Ships in 10 - 15 working days

Drinfeld Moduli Schemes and Automorphic Forms: The Theory of Elliptic Modules with Applications is based on the author's original work establishing the correspondence between ell-adic rank r Galois representations and automorphic representations of GL(r) over a function field, in the local case, and, in the global case, under a restriction at a single place. It develops Drinfeld's theory of elliptic modules, their moduli schemes and covering schemes, the simple trace formula, the fixed point formula, as well as the congruence relations and a "simple" converse theorem, not yet published anywhere. This version, based on a recent course taught by the author at The Ohio State University, is updated with references to research that has extended and developed the original work. The use of the theory of elliptic modules in the present work makes it accessible to graduate students, and it will serve as a valuable resource to facilitate an entrance to this fascinating area of mathematics.

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