Functional equations satisfied by intertwining operators of reductive groups

Zhu, Chen-bo

doi:10.1090/S0002-9947-1993-1097173-8

Functional equations satisfied by intertwining operators of reductive groups
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by Chen-bo Zhu PDF

Trans. Amer. Math. Soc. 336 (1993), 881-899 Request permission

Abstract:

This paper generalizes a recent work of Vogan and Wallach [VW] in which they derived a difference equation satisfied by intertwining operators of reductive groups. We show that, associated with each irreducible finite-dimensional representation, there is a functional equation relating intertwining operators. In this way, we obtain natural relations between intertwining operators for different series of induced representations.

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