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Representation Theory and Noncommutative Harmonic Analysis I

Fundamental Concepts. Representations of Virasoro and Affine Algebras

  • A. A. Kirillov

Part of the Encyclopaedia of Mathematical Sciences book series (EMS, volume 22)

Table of contents

  1. Front Matter
    Pages i-vii
  2. Back Matter
    Pages 227-236

About this book

Introduction

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.

Keywords

Conformal Quantum Field Theory Darstellungstheorie Non-Commuatitve Harmonic Analysis Representation theory String Theory String-The algebra calculus harmonic analysis konforme Quantenfeldtheorie nichtkommuattive harmonische Analysis ring theory

Editors and affiliations

  • A. A. Kirillov
    • 1
  1. 1.Moscow University MehmatMoscowRussia

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-662-03002-8
  • Copyright Information Springer-Verlag Berlin Heidelberg 1994
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-642-05740-3
  • Online ISBN 978-3-662-03002-8
  • Series Print ISSN 0938-0396
  • Buy this book on publisher's site