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Lie Groups and Lie Algebras I Foundations of Lie Theory Lie Transformation Groups

From the reviews: "This volume consists of two parts. ... Part I is devoted to a systematic development of the theory of Lie groups. The Lie algebras are studied only in connection with Lie groups, i.e. a systematic study of the Lie algebras is included here. Neither the structural theory of th...

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Bibliographic Details
Main Authors: Gorbatsevich, V.V., Onishchik, A.L. (Editor), Vinberg, E.B. (Author)
Format: eBook
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 1993, 1993
Edition:1st ed. 1993
Series:Encyclopaedia of Mathematical Sciences
Subjects:
Geometry, Differential
Algebraic Geometry
Algebraic Topology
Topological Groups And Lie Groups
Lie Groups
Topological Groups
Manifolds And Cell Complexes
Manifolds (mathematics)
Differential Geometry
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Table of Contents:
  • I.Foundations of Lie Theory
  • 1. Basic Notions
  • 2. The Relation Between Lie Groups and Lie Algebras
  • 3. The Universal Enveloping Algebra
  • 4. Generalizations of Lie Groups
  • II. Lie Transformation Groups
  • 1. Lie Group Actions on Manifolds
  • 2. Transitive Actions
  • 3. Actions of Compact Lie Groups
  • 4. Homogeneous Spaces of Nilpotent and Solvable Groups
  • 5. Compact Homogeneous Spaces
  • 6. Actions of Lie Groups on Low-dimensional Manifolds

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