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Dolbeault Cohomological Realization of Zuckerman Modules Associated with Finite Rank Representations

✍ Scribed by H.W. Wong

Publisher: Elsevier Science
Year: 1995
Tongue: English
Weight: 998 KB
Volume: 129
Category: Article
ISSN: 0022-1236
DOI: 10.1006/jfan.1995.1058

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✦ Synopsis

The Dolbeault complex of an arbitrary finite dimensional homogeneous holomorphic vector bundle on certain open orbits in a generalized flag manifold is studied. The complex is shown to have the closed range property and the resulting cohomologies form the maximal globalization representations of the corresponding Zuckerman modules. 1995 Academic Press. Inc.