For more than five decades Bertram Kostant has been one of the major architects of modern Lie theory. Virtually all his papers are pioneering with deep consequences, many giving rise to whole new fields of activities. His interests span a tremendous range of Lie theory, from differential geometry to representation theory, abstract algebra, and mathematical physics. It is striking to note that Lie theory (and symmetry in general) now occupies an ever increasing larger role in mathematics than it did in the fifties. Now in the sixth decade of his career, he continues to produce results of astonishing beauty and significance for which he is invited to lecture all over the world. This is the fourth volume (1985-1995) of a five-volume set of Bertram Kostant's collected papers. A distinguished feature of this fourth volume is Kostant's commentaries and summaries of his papers in his own words.

For more than five decades Bertram Kostant has been one of the major architects of modern Lie theory. Virtually all his papers are pioneering with deep consequences, many giving rise to whole new fields of activities. His interests span a tremendous range of Lie theory, from differential geometry to representation theory, abstract algebra, and mathematical physics. It is striking to note that Lie theory (and symmetry in general) now occupies an ever increasing larger role in mathematics than it did in the fifties. Now in the sixth decade of his career, he continues to produce results of astonishing beauty and significance for which he is invited to lecture all over the world. This is the fifth volume (1995-2005) of a five-volume set of Bertram Kostant's collected papers. A distinguished feature of this fifth volume is Kostant's commentaries and summaries of his papers in his own words.

For more than five decades Bertram Kostant has been one of the major architects of modern Lie theory. Virtually all his papers are pioneering with deep consequences, many giving rise to whole new fields of activities. His interests span a tremendous range of Lie theory, from differential geometry to representation theory, abstract algebra, and mathematical physics. It is striking to note that Lie theory (and symmetry in general) now occupies an ever increasing larger role in mathematics than it did in the fifties. Now in the sixth decade of his career, he continues to produce results of astonishing beauty and significance for which he is invited to lecture all over the world. This is the second volume (1965-1975) of a five-volume set of Bertram Kostant's collected papers. A distinguished feature of this second volume is Kostant's commentaries and summaries of his papers in his own words.

Introduction: Atomic Physics and Nuclear Properties; J. Bauche. Atomic Methods in Nuclear Spectroscopy: Progress in Atomic Physics Experiments on Nuclear Properties; R. Neugart. Single Particle Aspects: Single Particle Response Function; S. Gales. Multiphonon States: Low-Energy Multiphonon States in Deformed Nuclei; R. Piepenbring. Shapes and Coexistence: Algebraic Approaches to Nuclear Structure; R.F. Casten. Octupoles: Reflection-Asymmetric Shapes in Atomic Nuclei; W. Nazarewicz. Superdeformation: Microscopic Description of Superdeformation at Low Spin; R. Bonche, et al. Exotic Nuclei: Search for New Radioactivities at the Proton-Drip Line; F. Pougheon, et al. Chaos: Quantum Chaos and Low-Energy Nuclear Spectroscopy; M.J. Giannoni. Experimental Techniques: Nuclear Moments by Orientation Methods; H. Postma. 35 additional articles. Index.

Dedicated to Jacques Carmona, an expert in noncommutative harmonic analysis, the volume presents excellent invited/refereed articles by top notch mathematicians. Topics cover general Lie theory, reductive Lie groups, harmonic analysis and the Langlands program, automorphic forms, and Kontsevich quantization. Good text for researchers and grad students in representation theory.

The present NATO Advanced Research Workshop held in Cargese (Corsica) from June 3rd to June 7th, 1991, was devoted to Nuclear Shapes and Nuclear Structure at Low Excitation Energies. We tried to organize the Workshop to facilitate the exchange of information in a rapidly moving field, where theorists and experimentalists are continuously developing and implementing new and powerful techniques in order, both to improve our knowledge and understanding of already known areas and to open completely new and fascinating frontier domains, as for example in the case of the recent discovery of Superdeformations. The informal atmosphere of Cargese contributed to easy contacts and scientific exchanges and to relaxed - although fruitful and sometimes passionate - discussions. We would like to express our gratitude to NATO for its financial support which made this Workshop possible. We acknowledge the support of the Institut de Physique Nucleaire et de Physique des Particules (France), the Commissariat a l'Energie Atomique (France), and the Centre National de la Recherche Scientifique - Mathematiques et Physique de Base (France). Our special appreciation is due to Frederique Dykstra and Josepha Nsair for their outstanding organizational work throughout the preparation and duration of this conference. We want to acknowledge at this occasion the help of many people from the departments of the Institut de Physique Nucleaire of Orsay. It is also a pleasure to thank the Universite de Nice for making available the facilities of the Cargese Scientific Institute.

Dedicated to Jacques Carmona, an expert in noncommutative harmonic analysis, the volume presents excellent invited/refereed articles by top notch mathematicians. Topics cover general Lie theory, reductive Lie groups, harmonic analysis and the Langlands program, automorphic forms, and Kontsevich quantization. Good text for researchers and grad students in representation theory.

For more than five decades Bertram Kostant has been one of the major architects of modern Lie theory. Virtually all his papers are pioneering with deep consequences, many giving rise to whole new fields of activities. His interests span a tremendous range of Lie theory, from differential geometry to representation theory, abstract algebra, and mathematical physics. It is striking to note that Lie theory (and symmetry in general) now occupies an ever increasing larger role in mathematics than it did in the fifties. Now in the sixth decade of his career, he continues to produce results of astonishing beauty and significance for which he is invited to lecture all over the world. This is the third volume (1975-1985) of a five-volume set of Bertram Kostant's collected papers. A distinguished feature of this third volume is Kostant's commentaries and summaries of his papers in his own words.

All the papers in this volume are research papers presenting new results. Most of the results concern semi-simple Lie groups and non-Riemannian symmetric spaces: unitarisation, discrete series characters, multiplicities, orbital integrals. Some, however, also apply to related fields such as Dirac operators and characters in the general case.

This is a collection of research-oriented monographs, reports, and notes arising from lectures and seminars on the Weil representation, the Maslov index, and the Theta series. It is good contribution to the international scientific community, particularly for researchers and graduate students in the field.

In the first edition of this book, simple proofs of the Atiyah-Singer Index Theorem for Dirac operators on compact Riemannian manifolds and its generalizations (due to the authors and J.-M. Bismut) were presented, using an explicit geometric construction of the heat kernel of a generalized Dirac operator; the new edition makes this popular book available to students and researchers in an attractive paperback.