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Lie Groups pp 107-111 | Cite as

Topological Proof of Cartan’s Theorem

  • Daniel Bump
Part of the Graduate Texts in Mathematics book series (GTM, volume 225)

Abstract

We will give another proof of Cartan’s Theorem 16.5. Since this was already proved in the last chapter, the reader can skip this chapter with no loss of continuity. As a by-product of this second proof, we will obtain some topological insight into the “flag manifold” G/T, where T is a maximal torus in the compact Lie group T, a topic that we will take up in the final chapter.

Keywords

Maximal Torus Finite Order Final Chapter Flag Manifold Lefschetz Number 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 2004

Authors and Affiliations

  • Daniel Bump
    • 1
  1. 1.Department of MathematicsStanford UniversityStanfordUSA

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