Finite multiplicity theorems
نویسندگان
چکیده
We find upper and lower bounds of the multiplicities of irreducible admissible representations π of a semisimple Lie group G occurring in the induced representations IndH τ from irreducible representations τ of a closed subgroup H. As corollaries, we establish geometric criteria for finiteness of the dimension of HomG(π, Ind G H τ) (induction) and of HomH(π|H , τ) (restriction) by means of the real flag variety G/P , and criteria for uniform boundedness of these multiplicities by means of the complex flag variety.
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تاریخ انتشار 2011