Synopses & Reviews
Part I of this book is a short review of the classical part of representation theory. The main chapters of representation theory are discussed: representations of finite and compact groups, finite- and infinite-dimensional representations of Lie groups. It is a typical feature of this survey that the structure of the theory is carefully exposed - the reader can easily see the essence of the theory without being overwhelmed by details. The final chapter is devoted to the method of orbits for different types of groups. Part II deals with representation of Virasoro and Kac-Moody algebra. The second part of the book deals with representations of Virasoro and Kac-Moody algebra. The wealth of recent results on representations of infinite-dimensional groups is presented.
Synopsis
This volume of the Encyclopaedia contains both an introduction to representation theory and a survey of some advanced topics concerning representations of Virasoro and affine algebras. All this material is important for mathematicians and theoretical physicists, and graduate students and researchers in these fields will benefit from using this book.
Synopsis
This two-part survey provides a short review of the classical part of representation theory, carefully exposing the structure of the theory without overwhelming readers with details, and deals with representations of Virasoro and Kac-Moody algebra. It presents a wealth of recent results on representations of infinite-dimensional groups.
Table of Contents
Contents: Introduction to the Theory of Representations and Noncommutative Harmonic Analysis by
A.A. Kirillov; Representations of Virasoro and Affine Lie Algebras by
Yu.A. Neretin.