Unitary Highest Weight Representations in Hilbert Spaces of Holomorphic Functions on Infinite Dimensional Domains

Automorphism groups of symmetric domains in Hilbert spaces form a natural class of infinite dimensional Lie algebras and corresponding Banach Lie groups. We give a classification of the algebraic category of unitary highest weight modules for such Lie algebras and show that infinite dimensional vers...

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Bibliographic Details
Published in:Journal of functional analysis Vol. 156; no. 1; pp. 263 - 300
Main Authors: Neeb, Karl-Hermann, Ørsted, Bent
Format: Journal Article
Language:English
Published: Elsevier Inc 20.06.1998
ISSN:0022-1236, 1096-0783
Online Access:Get full text
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