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  • © 1992

Lie Algebras and Lie Groups

1964 Lectures given at Harvard University

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Part of the book series: Lecture Notes in Mathematics (LNM, volume 1500)

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Table of contents (12 chapters)

  1. Front Matter

    Pages I-VII
  2. Lie Algebras

    1. Front Matter

      Pages 1-1
    2. Lie Algebras: Definition and Examples

      • Jean-Pierre Serre
      Pages 2-5
    3. Filtered Groups and Lie Algebras

      • Jean-Pierre Serre
      Pages 6-10
    4. Universal Algebra of a Lie Algebra

      • Jean-Pierre Serre
      Pages 11-17
    5. Free Lie Algebras

      • Jean-Pierre Serre
      Pages 18-30
    6. Nilpotent and Solvable Lie Algebras

      • Jean-Pierre Serre
      Pages 31-43
    7. Semisimple Lie Algebras

      • Jean-Pierre Serre
      Pages 44-55
  3. Lie Groups

    1. Front Matter

      Pages 63-63
    2. Complete Fields

      • Jean-Pierre Serre
      Pages 64-66
    3. Analytic Functions

      • Jean-Pierre Serre
      Pages 67-75
    4. Analytic Manifolds

      • Jean-Pierre Serre
      Pages 76-101
    5. Analytic Groups

      • Jean-Pierre Serre
      Pages 102-128
    6. Lie Theory

      • Jean-Pierre Serre
      Pages 129-160
  4. Back Matter

    Pages 161-173

Authors and Affiliations

  • Collège de France, Paris, France

    Jean-Pierre Serre

Bibliographic Information

  • Book Title: Lie Algebras and Lie Groups

  • Book Subtitle: 1964 Lectures given at Harvard University

  • Authors: Jean-Pierre Serre

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/978-3-540-70634-2

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1992

  • Softcover ISBN: 978-3-540-55008-2Published: 11 March 1992

  • eBook ISBN: 978-3-540-70634-2Published: 07 February 2009

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 2

  • Number of Pages: VII, 173

  • Additional Information: Originally published by W. A. Benjamin, Inc., New York, 1965

  • Topics: Topological Groups, Lie Groups

Buy it now

Buying options

eBook USD 34.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 44.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access