Description

Book Synopsis
The theory of Lie groups involves many areas of mathematics: algebra, differential geometry, algebraic geometry, analysis, and differential equations. This work outlines the prerequisites to get the reader started, and then chooses a path through this theory that aims for an understanding of the geometry of Lie groups and homogeneous spaces.

Table of Contents
Lie groups Maximal tori and the classification theorem The geometry of a compact Lie group Homogeneous spaces The geometry of a reductive homogeneous space Symmetric spaces Generalized flag manifolds Advanced topics Bibliography Index.

An Introduction to Lie Groups and the Geometry of

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    A Paperback by Andreas Arvanitoyeorgos

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      View other formats and editions of An Introduction to Lie Groups and the Geometry of by Andreas Arvanitoyeorgos

      Publisher: MP-AMM American Mathematical
      Publication Date: 10/30/2003 12:00:00 AM
      ISBN13: 9780821827789, 978-0821827789
      ISBN10: 0821827782

      Description

      Book Synopsis
      The theory of Lie groups involves many areas of mathematics: algebra, differential geometry, algebraic geometry, analysis, and differential equations. This work outlines the prerequisites to get the reader started, and then chooses a path through this theory that aims for an understanding of the geometry of Lie groups and homogeneous spaces.

      Table of Contents
      Lie groups Maximal tori and the classification theorem The geometry of a compact Lie group Homogeneous spaces The geometry of a reductive homogeneous space Symmetric spaces Generalized flag manifolds Advanced topics Bibliography Index.

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