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Lie Groups, Lie Algebras, and Their Representations

  • Textbook
  • © 1984

Overview

Authors:
  1. V. S. Varadarajan

    1. Department of Mathematics, University of California, Los Angeles, USA

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Part of the book series: Graduate Texts in Mathematics (GTM, volume 102)

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Table of contents (4 chapters)

  1. Front Matter

    Pages i-xiii
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  2. Differentiable and Analytic Manifolds

    • V. S. Varadarajan
    Pages 1-40

  3. Lie Groups and Lie Algebras

    • V. S. Varadarajan
    Pages 41-148

  4. Structure Theory

    • V. S. Varadarajan
    Pages 149-259

  5. Complex Semisimple Lie Algebras and Lie Groups: Structure and Representations

    • V. S. Varadarajan
    Pages 260-416

  6. Back Matter

    Pages 417-433
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Keywords

About this book

This book has grown out of a set of lecture notes I had prepared for a course on Lie groups in 1966. When I lectured again on the subject in 1972, I revised the notes substantially. It is the revised version that is now appearing in book form. The theory of Lie groups plays a fundamental role in many areas of mathematics. There are a number of books on the subject currently available -most notably those of Chevalley, Jacobson, and Bourbaki-which present various aspects of the theory in great depth. However, 1 feei there is a need for a single book in English which develops both the algebraic and analytic aspects of the theory and which goes into the representation theory of semi­ simple Lie groups and Lie algebras in detail. This book is an attempt to fiii this need. It is my hope that this book will introduce the aspiring graduate student as well as the nonspecialist mathematician to the fundamental themes of the subject. I have made no attempt to discuss infinite-dimensional representations. This is a very active field, and a proper treatment of it would require another volume (if not more) of this size. However, the reader who wants to take up this theory will find that this book prepares him reasonably well for that task.

Authors and Affiliations

  • Department of Mathematics, University of California, Los Angeles, USA

    V. S. Varadarajan

Bibliographic Information

  • Book Title: Lie Groups, Lie Algebras, and Their Representations

  • Authors: V. S. Varadarajan

  • Series Title: Graduate Texts in Mathematics

  • DOI: https://doi.org/10.1007/978-1-4612-1126-6

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 1984

  • Hardcover ISBN: 978-0-387-90969-1Published: 14 May 1984

  • Softcover ISBN: 978-1-4612-7016-4Published: 26 March 2013

  • eBook ISBN: 978-1-4612-1126-6Published: 17 April 2013

  • Series ISSN: 0072-5285

  • Series E-ISSN: 2197-5612

  • Edition Number: 1

  • Number of Pages: XIV, 434

  • Additional Information: Originally published by Prentice-Hall Inc., 1974

  • Topics: Topological Groups, Lie Groups

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