Unitary Representations on Partially Holomorphic Cohomology Spaces
Jan 1974 · American Mathematical Soc.
eBook
152
Pages
About this eBook
In "The Action of a Real Semisimple Lie group on a Complex Flag Manifold, I: Orbit Structure and Holomorphic Arc Components" we decomposed a complex flag manifold under the action of a real Lie group. At the end of the introduction, we described a program for using the real group orbits as the setting for geometric realization of unitary representations of semisimple groups. Here we carry out that program for reductive Lie groups, obtaining geometric realizations for the family of representations that is involved in the Plancherel formula.
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