Determination of the intertwining operators for holomorphically induced representations of Hermitian symmetric pairs

Brian Boe, Thomas Jones Enright and Brad Shelton

Vol. 131 (1988), No. 1, 39–50

DOI: 10.2140/pjm.1988.131.39

Abstract

Let X and Y be two holomorphically induced representations for an irreducible Hermitian symmetric pair (G,K) with integral highest weights. Then Hom(X,Y ) equals either C or zero. In this article we give formulas for Hom(X,Y ) when the infinitesmial character of X and Y is integral and either regular or semi-regular. One formula is given in terms of the highest weight of X and the other in terms of the highest weight of Y .

Mathematical Subject Classification 2000

Primary: 22E47

Milestones

Received: 22 August 1986

Published: 1 January 1988