Remote Access Transactions of the American Mathematical Society
Green Open Access

Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

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
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

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.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC: 22E46, 15A69, 22E30

Retrieve articles in all journals with MSC: 22E46, 15A69, 22E30


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