GENERALIZED PRINCIPAL SERIES REPRESENTATIONS OF SL(1+N, C)

Authors
DOOLEY AH ZHANG GK
Citation
Ah. Dooley et Gk. Zhang, GENERALIZED PRINCIPAL SERIES REPRESENTATIONS OF SL(1+N, C), Proceedings of the American Mathematical Society, 125(9), 1997, pp. 2779-2787
Citations number
23
Categorie Soggetti
Mathematics, General",Mathematics,Mathematics
Journal title
Proceedings of the American Mathematical Society → ACNP
ISSN journal
00029939
Volume
125
Issue
9
Year of publication
1997
Pages
2779 - 2787
Database
ISI
SICI code
0002-9939(1997)125:9<2779:GPSROS>2.0.ZU;2-Q
Abstract
We consider certain induced representations of the group SL(n + 1, C) realized on line bundles over the projective space of Cn+1. We calcula te the intertwining operators in the compact picture. We find all the unitarizable representations and determine the invariant norm.