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The Tannaka Duality Theorem for Semisimple Lie Groups and the Unitarian Trick

  • Mitsuo Sugiura
Chapter
Part of the Progress in Mathematics book series (PM, volume 14)

Abstract

Harish-Chandra [6] found that the Tannaka duality theorem almost holds for connected semisimple Lie groups but it does not hold exactly. It remained an open question when the Tannaka duality theorem holds for semisimple Lie groups. In this paper, we answer the question in the fol lowing way.

Keywords

Algebraic Group Rational Representation Maximal Compact Subgroup Faithful Representation Algebraic Subgroup 
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 1981

Authors and Affiliations

  • Mitsuo Sugiura
    • 1
  1. 1.College of Genneral EducationUniversity of TokyoKomaba, Meguroku, Tokyo 153Japan

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