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)


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.


Maximal Torus Finite Order Final Chapter Flag Manifold Lefschetz Number 
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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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