Representation Theory of Symmetric Groups is the most up-to-date abstract algebra book on the subject of symmetric groups and representation theory. Utilizing new research and results, this book can be studied from a combinatorial, algorithmic or algebraic viewpoint. This book is an excellent way of introducing today's students to representation theory of the symmetric groups, namely classical theory. From there, the book explains how the theory can be extended to other related combinatorial algebras like the Iwahori-Hecke algebra. In a clear and concise manner, the author presents the case that most calculations on symmetric group can be performed by utilizing appropriate algebras of functions. Thus, the book explains how some Hopf algebras (symmetric functions and generalizations) can be used to encode most of the combinatorial properties of the representations of symmetric groups. Overall, the book is an innovative introduction to representation theory of symmetric groups for graduate students and researchers seeking new ways of thought.

Originally published in 1988, the purpose of this book was to explore the interrelations among communication, social cognition and affect. The contributors, selected by the editors, are some of the best known in their fields and they significantly added to the knowledge of this interdisciplinary domain at the time. In late April 1986 the authors met at a conference centre at the University of Kentucky. They presented first drafts of their chapters and exchanged ideas. Out of these interactions came this book, which has a broad interest across several areas of psychology and communication. While answering a number of questions, the authors also posed other questions for future examination.

Based on presentations given at the NordForsk Network Closing Conference Operator Algebra and Dynamics, held in Gjaargarour, Faroe Islands, in May 2012, this book features high quality research contributions and review articles by researchers associated with the NordForsk network and leading experts that explore the fundamental role of operatoralgebras and dynamical systems in mathematics with possible applications to physics, engineering and computer science.

It covers the following topics: von Neumann algebras arising from discrete measured groupoids, purely infinite Cuntz-Krieger algebras, filteredK-theory over finite topological spaces, "C*"-algebras associated to shift spaces (or subshifts), graph"C*"-algebras, irrational extended rotationalgebras that are shown to be"C*"-alloys, free probability, renewal systems, the Grothendieck Theorem for jointly completelybounded bilinear forms on"C*"-algebras, Cuntz-Li algebrasassociatedwith the"a"-adic numbers, crossed products of injective endomorphisms (the so-called Stacey crossedproducts), the interplay between dynamical systems, operator algebras and wavelets on fractals, "C*"-completions of the Hecke algebra of a Hecke pair, semiprojective"C*-"algebras, and the topologicaldimension of type I"C*"-algebras.

"Operator Algebra and Dynamics"will serve as a useful resource for a broad spectrum of researchers and students in mathematics, physics, and engineering.

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Actions and Invariants of Algebraic Groups, Second Edition presents a self-contained introduction to geometric invariant theory starting from the basic theory of affine algebraic groups and proceeding towards more sophisticated dimensions." Building on the first edition, this book provides an introduction to the theory by equipping the reader with the tools needed to read advanced research in the field. Beginning with commutative algebra, algebraic geometry and the theory of Lie algebras, the book develops the necessary background of affine algebraic groups over an algebraically closed field, and then moves toward the algebraic and geometric aspects of modern invariant theory and quotients.

This book contains articles on maximal regulatory problems, interpolation spaces, multiplicative perturbations of generators, linear and nonlinear evolution equations, integrodifferential equations, dual semigroups, positive semigroups, applications to control theory, and boundary value problems.

This book focuses on safer sex discussion and practice in close, personal relationships, emphasizing research on individuals in personal relationship types that are experiencing a rise in HIV infection and AIDS. Moving beyond studies of gay adult males and IV drug-users, this work paints a clear picture of the very real risk that exists for these less-studied, more general populations, so individuals may better personalize the risk and engage in more preventative measures. Authors Tara M. Emmers-Sommer and Mike Allen examine issues surrounding safer sex, utilizing research that focuses on how individuals struggle with personalizing the HIV and AIDS risk and how they cope with safer sex issues. Safer Sex in Personal Relationships takes readers on a journey through a variety of close relationship types. It begins by highlighting awareness to the global enormity of HIV and AIDS and providing a link between the global and personal, and the need to make HIV and AIDS awareness part of everyday talk and personal relationship structure. It then focuses on: *safer sex in close relationships, both heterosexual and homosexual; *marital relationships and the importance of safe sex discussion and awareness in marriages; *HIV and AIDS from a multicultural perspective; *HIV and AIDS in aged populations; and *increasing awareness, understanding, and compassion of those living with HIV and AIDS. This book will appeal to scholars and students concerned with HIV and AIDS in personal relationships. It will be an invaluable text for courses on interpersonal communication and relationships; family, marital, human sexuality, sex and gender, gay and lesbian relationships, and sexual education; and relational conflict across communication, psychology, and sociology disciplines.

The Social Psychology of Everyday Politics examines the ways in which politics permeates everyday life, from the ordinary interactions we have with others to the sense of belonging and identity developed within social groups and communities. Discrimination, prejudice, inclusion and social change, politics is an on-going process that is not solely the domain of the elected and the powerful. Using a social and political psychological lens to examine how politics is enacted in contemporary societies, the book takes an explicitly critical approach that places political activity within collective processes rather than individual behaviors. While the studies covered in the book do not ignore the importance of the individual, they underscore the need to examine the role of culture, history, ideology and social context as integral to psychological processes. Individuals act, but they do not act in isolation from the groups and societies in which they belong. Drawing on extensive international research, with contributions from leaders in the field as well as emerging scholars, the book is divided into three interrelated parts which cover: The politics of intercultural relations Political agency and social change Political discourse and practice Offering insights into how psychology can be applied to some of the most pressing social issues we face, this will be fascinating reading for students of psychology, political science, sociology and cultural studies, as well as anyone working in the area of public policy.

Social interaction in recent years has become the focus of systematic scientific research in a wide variety of academic disciplines. In Communication under the Microscope, Peter Bull shows how communication has become an object of study in its own right, which can be dissected in the finest detail through the use of film and recording technology. In so doing he provides a clear and valuable introduction into the theory and practice of microanalysis. Bull argues that microanalysis is both a distinctive methodology and a distinctive way of thinking about communication. He then focuses on the two principal elements of face-to-face communication: speech and non-verbal behaviour. Communication in particular social contexts is also addressed with related chapters on gender and politics. Finally, the practical aspects of microanalysis are discussed. This unique and thorough review of microanalysis integrates different approaches and draws together research literature which is often diverse and disparate. Presented in a clear and focused style, this book will be of interest to psychologists, social scientists and all students and researchers in the field of communication. Communication is central to many aspects of human life, yet it has only recently become the focus of systematic scientific investigation within a wide variety of academic disciplines. Communication has now become an object of study in its own right, and can be dissected in the finest detail with the use of recording technology (film, audiotape and videotape). This approach has become known as 'microanalysis', and forms the principal theme of Communication under the Microscope.

This book introduces various notions defined in graded terms extending the notions most frequently used as basic ingredients in the theory of Azumaya algebras: separability and Galois extensions of commutative rings, crossed products and Galois cohomology, Picard groups, and the Brauer group.

Elliot Aronson is among the 100 most influential psychologists of the 20th Century. He is best known for his theorizing and research on cognitive dissonance theory -- one of the most provocative and enduring theories in contemporary psychology -- and for his design of the "jigsaw classroom," an applied method of reducing conflict and prejudice in multiethnic schools. Throughout his illustrious career, he has championed the application of social-psychological theory and methods for solving such pressing social problems as prejudice, energy efficiency, conflict and miscommunication in relationships, and the reasons why many people justify their mistakes rather than learn from them. Aronson is the only psychologist in the history of the American Psychological Association to have won all three of its top awards: for research, teaching, and writing. In this Festschrift, friends, colleagues, and former students write with warmth, clarity, and humor about Aronson's enduring influence on the field of social psychology and on their own professional lives as researchers, writers, and teachers. Topics covered include contemporary research on cognitive dissonance theory; the changing face of experimentation in social psychology; and applied research on energy policy, education, the legal system, intergroup conflict, and prejudice and discrimination.

These books grew out of the perception that a number of important conceptual and theoretical advances in research on small group behavior had developed in recent years, but were scattered in rather fragmentary fashion across a diverse literature. Thus, it seemed useful to encourage the formulation of summary accounts. A conference was held in Hamburg with the aim of not only encouraging such developments, but also encouraging the integration of theoretical approaches where possible. These two volumes are the result. Current research on small groups falls roughly into two moderately broad categories, and this classification is reflected in the two books. Volume I addresses theoretical problems associated with the consensual action of task-oriented small groups, whereas Volume II focuses on interpersonal relations and social processes within such groups. The two volumes differ somewhat in that the conceptual work of Volume I tends to address rather strictly defined problems of consensual action, some approaches tending to the axiomatic, whereas the conceptual work described in Volume II is generally less formal and rather general in focus. However, both volumes represent current conceptual work in small group research and can claim to have achieved the original purpose of up-to-date conceptual summaries of progress on new theoretical work.

The disintegration of the Soviet Union in 1991 left 25 million Russians living outside the Russian Federation. This important new book explores their social identity, examining the mutually held perceptions, fears and resulting nationalism of both the ethnic Russians living outside the Russian Federation and the indigenous, or 'titular', populations they live amongst. Based on a unique study involving national surveys conducted in Belarus, Ukraine, Moldova, Georgia and Kazakhstan, the book maps the main individual, intergroup and cross-national factors that shape the fears of 'titulars' and Russians as well as the possible consequences and the risk of ethnic conflict in the five republics. There is detailed statistical analysis of how background factors (personal and national) affect intergroup perceptions; along with discussion of mutual stereotypes, social distance, language and the perception of citizenship and analysis of the dynamics of assimilation and separation of Russians in former soviet states. The attitudes of both groups to other smaller minority groups are also examined. This book provides significant new conclusions on the complexity of intergroup relations and seeks to relate these findings to a general theory of intergroup relations. It will be essential reading for those working in this area within the disciplines of Psychology, Sociology and Politics.

Techniques of physics find wide application in biology, medicine, engineering and technology generally. This series is devoted to techniques which have found and are finding application. The aim is to clarify the principles of each technique, to emphasize and illustrate the applications and to draw attention to new fields of possible employment.

Originally published in 1963, this book was one of the first to explore group process and working with groups. The introductory chapter tells us that working with groups requires three skills: and understanding of theory, a knowledge of its application, and trained experience in its use. It goes on to discuss these points, helping the reader towards an understanding of group processes and making decisions in groups. This title is an early example of author's explorations of groups and group work, which were to be a major factor in the establishment of group-work practice in Britain over the following years.

This book gives an account of the fundamental results in geometric stability theory, a subject that has grown out of categoricity and classification theory. This approach studies the fine structure of models of stable theories, using the geometry of forking; this often achieves global results relevant to classification theory. Topics range from Zilber-Cherlin classification of infinite locally finite homogenous geometries, to regular types, their geometries, and their role in superstable theories. The structure and existence of definable groups is featured prominently, as is work by Hrushovski. The book is unique in the range and depth of material covered and will be invaluable to anyone interested in modern model theory.

The Science of Attitudes is the first book to integrate classic and modern research in the field of attitudes at a scholarly level. Designed primarily for advanced undergraduates and graduate students, the presentation of research will also be useful for current scholars in all disciplines who are interested in how attitudes are formed and changed. The treatment of attitudes is both thorough and unique, taking a historical approach while simultaneously highlighting contemporary views and controversies. The book traces attitudes research from the inception of scientific study following World War II to the issues and methods of research that are prominent features of today's research. Researchers in the field of attitudes will be particularly interested in classic and modern research on the organization, structure, strength and function of attitudes. Researchers in the field of persuasion will be particularly interested in work on attitude change focusing on propositional and associative learning, metacognition and dynamic theories of dissonance, balance and reactance. The book is designed to present the integration of the properties of the attitude with the dynamic considerations of attitude change. The Science of Attitudes is also the first book on attitudes to devote entire chapters to work on implicit measurements, resistance to persuasion, and social neuroscience.

An accessible text introducing algebraic geometries and algebraic groups at advanced undergraduate and early graduate level, this book develops the language of algebraic geometry from scratch and uses it to set up the theory of affine algebraic groups from first principles.
Building on the background material from algebraic geometry and algebraic groups, the text provides an introduction to more advanced and specialised material. An example is the representation theory of finite groups of Lie type.
The text covers the conjugacy of Borel subgroups and maximal tori, the theory of algebraic groups with a BN-pair, a thorough treatment of Frobenius maps on affine varieties and algebraic groups, zeta functions and Lefschetz numbers for varieties over finite fields. Experts in the field will enjoy some of the new approaches to classical results.
The text uses algebraic groups as the main examples, including worked out examples, instructive exercises, as well as bibliographical and historical remarks.

The Handbook of Cubic Math unveils the theory involved in Rubik's Cube's solution, the potential applications of that theory to other similar puzzles, and how the cube provides a physical example for many concepts in mathematics where such examples are difficult to find. Nonetheless, the authors have been able to cover and explain these topics in a way which is easily understandable to the layman, suitable for a junior-high-school or high-school course in math, and appropriate for a college course in modern algebra. This manual will satisfy the experts' curiosity about the moves that lead to the solution of the cube and will offer a useful supplementary teaching aid to the beginners.

In this single volume, William N. Elwood has gathered potent evidence of the impact that the HIV/AIDS epidemic has had on the world, its communities, and its inhabitants, and he addresses the role of communication in affecting the way in which people respond to AIDS. With a multidisciplinary group of contributors and topics ranging from political rhetoric to interpersonal discourse, Power in the Blood offers a multitude of ways in which to think about power, politics, HIV prevention, and people living with HIV. Readers will be able to use this information in class discussions, program designs, grant applications, and research, as well as in their own lives. With this volume, Elwood makes a thoroughly convincing argument that communication is the key to understanding, treating, and preventing AIDS, and he inspires further action toward the goal of ending the AIDS crisis.

Hall argues that 'London was the chief manufacturing centre of the country in 1861, and without doubt for centuries before that'. This book looks at industries in London over time from 1861. This book was first published in 1962.

Insurgent groups consist of individuals willing to organize and commit acts of terror to achieve their goals. By nature, they depend on public support, yet they sometimes target private civilians in addition to military personnel and government officials. This book examines insurgent embeddedness-the extent to which an insurgent group is enmeshed in relationships with the state, other insurgents, and the public-in order to understand why they attack civilians. Using Big Allied and Dangerous (BAAD) as the dataset, this book drills into civilian attacks in specific contexts, including schools, news media, and nonmilitary/nongovernment spaces designed for the general public. This book goes one step further, presenting in-depth analyses of intergroup alliances and rivalries, their changes and determinants over time, and the implications for several types of bloodshed against civilians. Insurgent Terrorism offers a comprehensive, modern approach for academics, students, and policy practitioners who seek to understand interorganizational relationships between insurgent organizations.

With plenty of new material not found in other books, Direct Sum Decompositions of Torsion-Free Finite Rank Groups explores advanced topics in direct sum decompositions of abelian groups and their consequences. The book illustrates a new way of studying these groups while still honoring the rich history of unique direct sum decompositions of groups. Offering a unified approach to theoretic concepts, this reference covers isomorphism, endomorphism, refinement, the Baer splitting property, Gabriel filters, and endomorphism modules. It shows how to effectively study a group G by considering finitely generated projective right End(G)-modules, the left End(G)-module G, and the ring E(G) = End(G)/N(End(G)). For instance, one of the naturally occurring properties considered is when E(G) is a commutative ring. Modern algebraic number theory provides results concerning the isomorphism of locally isomorphic rtffr groups, finitely faithful S-groups that are J-groups, and each rtffr L-group that is a J-group. The book concludes with useful appendices that contain background material and numerous examples.

With a more specific focus than the all-encompassing textbook, each title in the "Foundations of Psychology" series enables students who are new to psychology to get to grips with a key area of psychological research, while also developing an understanding of basic concepts, debates, and research methodologies. In this book Diana Jackson-Dwyer presents an introductory survey of classic and recent research on relationships and the theories that underpin them.

The book starts with a brief overview of the place of relationships within the history of psychology and of their evolutionary roots: our need to belong, to attach and to affiliate. After a look at methodology, it considers different types of relationships: kinship, friendship, loving and mating. Theories are advanced to explain the formation, maintenance and breakdown of relationships. The book draws on a wide array of contemporary research, and covers issues ranging from rising divorce rates to cultural variations in mating patterns, the issue of gay marriage, and the effect of the internet on relationships.

Each chapter contains numerous pedagogical features which will help students to engage with the material:

• Chapter-specific learning objectives and summaries of key points
• Study boxes presenting reflective exercises, research questions, and issues for discussion
• Glossaries and suggestions for further reading

Assuming no prior knowledge of the subject, "Interpersonal Relationships "provides" "an accessible" "and up-to-date overview of this vibrant area of psychology. The book will be ideal reading for students who are new to higher-level study - whether at school, college or university, and will also be useful for first-year undergraduate students taking introductory courses in psychology.

Quasi-Frobenius rings and Nakayama rings were introduced by T Nakayama in 1939. Since then, these classical artinian rings have continued to fascinate ring theorists with their abundance of properties and structural depth. In 1978, M Harada introduced a new class of artinian rings which were later called Harada rings in his honour. Quasi-Frobenius rings, Nakayama rings and Harada rings are very closely interrelated. As a result, from a new perspective, we may study the classical artinian rings through their interaction and overlap with Harada rings. The objective of this seminal work is to present the structure of Harada rings and provide important applications of this structure to the classical artinian rings. In the process, we cover many topics on artinian rings, using a wide variety of concepts from the theory of rings and modules. In particular, we consider the following topics, all of which are currently of much interest and ongoing research: Nakayama permutations, Nakayama automorphisms, Fuller's theorem on i-pairs, artinian rings with self-duality, skew-matrix rings, the classification of Nakayama rings, Nakayama group algebras, the Faith conjecture, constructions of local quasi-Frobenius rings, lifting modules, and extending modules. In our presentation of these topics, the reader will be able to retrace the history of artinian rings.

This volume is the first to bring together the fast-growing research on self-continuity from multiple perspectives within and beyond social psychology. The book covers individual and collective aspects of self-continuity, while a final section explores the relationship between these two forms. Topics include environmental and cultural influences on self-continuity; the interplay of autobiographical memory and personal self-continuity; the psychological function of self-continuity; personal and collective self-continuity; and resistance to change. The volume is rounded off with commentaries on the central issues and themes that have been discussed. The book provides a unique sourcebook for this important topic and will appeal not only to upper-level students and researchers in social psychology, but, in view of the multiple perspectives represented in the volume, it will also appeal to cognitive, developmental, and personality psychologists.