Lie Groups pp 205-211 | Cite as

The Bruhat Decomposition

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


The Bruhat decomposition was discovered quite late in the history of Lie groups, which is surprising in view of its fundamental importance. It was preceded by Ehresmann’s discovery of a closely related cell decomposition for flag manifolds.


Weyl Group Simple Root Parabolic Subgroup Semidirect Product Maximal Torus 
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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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