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Representations of the supergroup U(p, q)

โœ Scribed by F. A. Berezin


Book ID
105060226
Publisher
Springer US
Year
1977
Tongue
English
Weight
240 KB
Volume
10
Category
Article
ISSN
0016-2663

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One-Dimensional Representations of U (p,
โœ Annegret Paul; Peter E. Trapa ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 349 KB

We explicitly determine the theta lifts of all one-dimensional representations of Uรฐp; qรž in terms of Langlands parameters, and determine exactly which lifts are unitary. Moreover, we show that such a lift is unitary if and only if it is a weakly fair derived functor module of the form A q รฐlรž: Fina