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  • Book
  • © 1993

Lie Groups and Lie Algebras I

Foundations of Lie Theory Lie Transformation Groups

Editors:

Part of the book series: Encyclopaedia of Mathematical Sciences (EMS, volume 20)

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Table of contents (12 chapters)

  1. Front Matter

    Pages i-vii
  2. Foundations of Lie Theory

    1. Front Matter

      Pages 1-1
    2. Introduction

      • A. L. Onishchik
      Pages 4-5
    3. Basic Notions

      • A. L. Onishchik
      Pages 6-29
    4. The Universal Enveloping Algebra

      • A. L. Onishchik
      Pages 59-74
    5. Generalizations of Lie Groups

      • A. L. Onishchik
      Pages 74-94
  3. Lie Transformation Groups

    1. Front Matter

      Pages 95-95
    2. Introduction

      • A. L. Onishchik
      Pages 99-99
    3. Lie Group Actions on Manifolds

      • A. L. Onishchik
      Pages 100-120
    4. Transitive Actions

      • A. L. Onishchik
      Pages 121-149
    5. Actions of Compact Lie Groups

      • A. L. Onishchik
      Pages 149-160
    6. Compact Homogeneous Spaces

      • A. L. Onishchik
      Pages 172-210
  4. Back Matter

    Pages 231-238

About this book

From the reviews:
"..., the book must be of great help for a researcher who already has some idea of Lie theory, wants to employ it in his everyday research and/or teaching, and needs a source for customary reference on the subject. From my viewpoint, the volume is perfectly fit to serve as such a source, ... On the whole, it is quite a pleasure, after making yourself comfortable in that favourite office armchair of yours, just to keep the volume gently in your hands and browse it slowly and thoughtfully; and after all, what more on Earth can one expect of any book?"
The New Zealand Mathematical Society Newsletter
"... Both parts are very nicely written and can be strongly recommended."
European Mathematical Society

Editors and Affiliations

  • Yaroslavl University, Yaroslavl, Russia

    A. L. Onishchik

Bibliographic Information

Buy it now

Buying options

Softcover Book USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access