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Lie Groups pp 205-211 | Cite as

Complexification

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

Abstract

Thus far, we have investigated the representations of compact connected Lie groups. In this chapter, we will see how the representation theory of compact connected Lie groups has implications for at least some noncompact Lie groups.

References

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    T. Springer. Galois cohomology of linear algebraic groups. In Algebraic Groups and Discontinuous Subgroups (Proc. Sympos. Pure Math., Boulder, Colo., 1965), pages 149–158. Amer. Math. Soc., Providence, R.I., 1966.Google Scholar
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    J. Tits. Classification of algebraic semisimple groups. In Algebraic Groups and Discontinuous Subgroups (Proc. Sympos. Pure Math., Boulder, Colo., 1965), pages 33–62, Providence, R.I., 1966, 1966. Amer. Math. Soc.Google Scholar

Copyright information

© Springer Science+Business Media New York 2013

Authors and Affiliations

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

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