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- W2064609849 abstract "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 IndHGτ from irreducible representations τ of a closed subgroup H. As corollaries, we establish geometric criteria for finiteness of the dimension of HomG(π,IndHGτ) (induction) and of HomH(π|H,τ) (restriction) by means of the real flag variety G/P, and discover that uniform boundedness property of these multiplicities is independent of real forms and characterized by means of the complex flag variety." @default.
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- W2064609849 date "2013-11-01" @default.
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- W2064609849 title "Finite multiplicity theorems for induction and restriction" @default.
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- W2064609849 doi "https://doi.org/10.1016/j.aim.2013.07.015" @default.
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