SL2(R)

  • Serge Lang

Part of the Graduate Texts in Mathematics book series (GTM, volume 105)

Table of contents

  1. Front Matter
    Pages i-xiv
  2. Serge Lang
    Pages 1-17
  3. Serge Lang
    Pages 19-35
  4. Serge Lang
    Pages 37-49
  5. Serge Lang
    Pages 51-65
  6. Serge Lang
    Pages 67-88
  7. Serge Lang
    Pages 127-161
  8. Serge Lang
    Pages 163-177
  9. Serge Lang
    Pages 179-190
  10. Serge Lang
    Pages 191-203
  11. Serge Lang
    Pages 205-217
  12. Serge Lang
    Pages 219-238
  13. Serge Lang
    Pages 239-262
  14. Back Matter
    Pages 353-431

About this book

Introduction

SL2(R) gives the student an introduction to the infinite dimensional representation theory of semisimple Lie groups by concentrating on one example - SL2(R). This field is of interest not only for its own sake, but for its connections with other areas such as number theory, as brought out, for example, in the work of Langlands. The rapid development of representation theory over the past 40 years has made it increasingly difficult for a student to enter the field. This book makes the theory accessible to a wide audience, its only prerequisites being a knowledge of real analysis, and some differential equations.

Keywords

Irreducibility Lie algebra algebra field lie group number theory representation theory

Authors and affiliations

  • Serge Lang
    • 1
  1. 1.Department of MathematicsYale UniversityNew HavenUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4612-5142-2
  • Copyright Information Springer-Verlag New York Inc. 1985
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4612-9581-5
  • Online ISBN 978-1-4612-5142-2
  • Series Print ISSN 0072-5285
  • Series Online ISSN 2197-5612
  • About this book