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Lowest weight representations of some infinite dimensional groups on fock spaces

✍ Scribed by Martin U. Schmidt


Publisher
Springer Netherlands
Year
1990
Tongue
English
Weight
962 KB
Volume
18
Category
Article
ISSN
0167-8019

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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