✦ LIBER ✦

Composition series for analytic continuations of holomorphic discrete series representations of SUp,q

✍ Scribed by Raj Wilson

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 286 KB
Volume: 15
Category: Article
ISSN: 0926-2245
DOI: 10.1016/s0926-2245(01)00060-2

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✦ Synopsis

A family of holomorphic discrete series representations of SU p,q is studied, and analytic continuation in terms of the reproducing kernel parameter ν is discussed. The composition series of the module of all polynomials on the hermitian symmetric domain D z of SU p,q is determined for those values of ν for which the representations are reducible.

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