The Tannaka Duality Theorem for Semisimple Lie Groups and the Unitarian Trick
Harish-Chandra  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.
KeywordsAlgebraic Group Rational Representation Maximal Compact Subgroup Faithful Representation Algebraic Subgroup
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