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Functional equations satisfied by intertwining operators of reductive groups


Author: Chen-bo Zhu
Journal: Trans. Amer. Math. Soc. 336 (1993), 881-899
MSC: Primary 22E46; Secondary 15A69, 22E30
DOI: https://doi.org/10.1090/S0002-9947-1993-1097173-8
MathSciNet review: 1097173
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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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Additional Information

DOI: https://doi.org/10.1090/S0002-9947-1993-1097173-8
Keywords: Reductive groups, intertwining operators, functional equations
Article copyright: © Copyright 1993 American Mathematical Society

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