Elements of the Theory of Representations

  • Aleksandr A. Kirillov

Part of the Grundlehren der mathematischen Wissenschaften book series (GL, volume 220)

Table of contents

  1. Front Matter
    Pages I-XI
  2. Preliminary Facts

    1. Aleksandr A. Kirillov
      Pages 1-11
    2. Aleksandr A. Kirillov
      Pages 11-24
    3. Aleksandr A. Kirillov
      Pages 24-35
    4. Aleksandr A. Kirillov
      Pages 35-62
    5. Aleksandr A. Kirillov
      Pages 62-83
    6. Aleksandr A. Kirillov
      Pages 83-107
  3. Basic Concepts and Methods of the Theory of Representations

    1. Aleksandr A. Kirillov
      Pages 108-115
    2. Aleksandr A. Kirillov
      Pages 115-129
    3. Aleksandr A. Kirillov
      Pages 129-139
    4. Aleksandr A. Kirillov
      Pages 139-156
    5. Aleksandr A. Kirillov
      Pages 156-166
    6. Aleksandr A. Kirillov
      Pages 166-181
    7. Aleksandr A. Kirillov
      Pages 181-215
    8. Aleksandr A. Kirillov
      Pages 215-225
    9. Aleksandr A. Kirillov
      Pages 226-258
  4. Various Examples

    1. Aleksandr A. Kirillov
      Pages 259-271
    2. Aleksandr A. Kirillov
      Pages 271-278
    3. Aleksandr A. Kirillov
      Pages 279-292
    4. Aleksandr A. Kirillov
      Pages 292-296

About this book

Introduction

The translator of a mathematical work faces a task that is at once fascinating and frustrating. He has the opportunity of reading closely the work of a master mathematician. He has the duty of retaining as far as possible the flavor and spirit of the original, at the same time rendering it into a readable and idiomatic form of the language into which the translation is made. All of this is challenging. At the same time, the translator should never forget that he is not a creator, but only a mirror. His own viewpoints, his own preferences, should never lead him into altering the original, even with the best intentions. Only an occasional translator's note is permitted. The undersigned is grateful for the opportunity of translating Professor Kirillov's fine book on group representations, and hopes that it will bring to the English-reading mathematical public as much instruction and interest as it has brought to the translator. Deviations from the Russian text have been rigorously avoided, except for a number of corrections kindly supplied by Professor Kirillov. Misprints and an occasional solecism have been tacitly taken care of. The trans­ lation is in all essential respects faithful to the original Russian. The translator records his gratitude to Linda Sax, who typed the entire translation, to Laura Larsson, who prepared the bibliography (considerably modified from the original), and to Betty Underhill, who rendered essential assistance.

Keywords

Darstellung Group representation Lie algebra algebra cohomology commutative group finite group lie group locally compact group manifold matrix operator algebra ring transformation transformation group

Authors and affiliations

  • Aleksandr A. Kirillov
    • 1
  1. 1.Moscow State UniversityUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-66243-0
  • Copyright Information Springer-Verlag Berlin Heidelberg 1976
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-642-66245-4
  • Online ISBN 978-3-642-66243-0
  • Series Print ISSN 0072-7830
  • About this book