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Lie Algebras and Lie Groups

1964 Lectures given at Harvard University

  • Book
  • © 1992

Overview

Authors:
  1. Jean-Pierre Serre

    1. Collège de France, Paris, France

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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
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  2. Lie Algebras

    1. Front Matter

      Pages 1-1
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    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

    8. Representations of \( \mathfrak{s}{{\mathfrak{l}}_{\mathfrak{n}}} \)

      • Jean-Pierre Serre
      Pages 56-62

  3. Lie Groups

    1. Front Matter

      Pages 63-63
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    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
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Keywords

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

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