SPECTRUM GENERATING OPERATORS AND INTERTWINING-OPERATORS FOR REPRESENTATIONS INDUCED FROM A MAXIMAL PARABOLIC SUBGROUP

Authors
BRANSON T OLAFSSON G ORSTED B
Citation
T. Branson et al., SPECTRUM GENERATING OPERATORS AND INTERTWINING-OPERATORS FOR REPRESENTATIONS INDUCED FROM A MAXIMAL PARABOLIC SUBGROUP, Journal of functional analysis, 135(1), 1996, pp. 163-205
Citations number
21
Categorie Soggetti
Mathematics, Pure",Mathematics
Journal title
Journal of functional analysis → ACNP
ISSN journal
00221236
Volume
135
Issue
1
Year of publication
1996
Pages
163 - 205
Database
ISI
SICI code
0022-1236(1996)135:1<163:SGOAIF>2.0.ZU;2-E
Abstract
We present a new method of calculating intertwining operators between principal series representations of semisimple Lie groups G. Working i n the compact realization we find the eigenvalues of the operators on the K-types, and give several examples. Among the advantages of our me thod is its applicability to bundle-valued cases. (C) 1996 Academic Pr ess, Inc.