Alldridge, Alexander ORCID: 0000-0001-6331-1672 and Schmittner, Sebastian
ORCID: 0000-0001-5739-4715
(2015).
Spherical representations of Lie supergroups.
J. Funct. Anal., 268 (6).
S. 1403 - 1454.
SAN DIEGO:
ACADEMIC PRESS INC ELSEVIER SCIENCE.
ISSN 1096-0783
Abstract
The classical Cartan Helgason Theorem characterises finite-dimensional spherical representations of reductive Lie groups in terms of their highest weights. We generalise the theorem to the case of a reductive symmetric supergroup pair (G, K) of even type. Along the way, we compute the Harish-Chandra c-function of the symmetric superspace G/K. By way of an application, we show that in type AIII vertical bar AIII, all spherical representations are self-dual. (C) 2014 Elsevier Inc. All rights reserved.
Item Type: | Journal Article | ||||||||||||
Creators: |
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URN: | urn:nbn:de:hbz:38-404939 | ||||||||||||
DOI: | 10.1016/j.jfa.2014.11.018 | ||||||||||||
Journal or Publication Title: | J. Funct. Anal. | ||||||||||||
Volume: | 268 | ||||||||||||
Number: | 6 | ||||||||||||
Page Range: | S. 1403 - 1454 | ||||||||||||
Date: | 2015 | ||||||||||||
Publisher: | ACADEMIC PRESS INC ELSEVIER SCIENCE | ||||||||||||
Place of Publication: | SAN DIEGO | ||||||||||||
ISSN: | 1096-0783 | ||||||||||||
Language: | English | ||||||||||||
Faculty: | Unspecified | ||||||||||||
Divisions: | Unspecified | ||||||||||||
Subjects: | no entry | ||||||||||||
Uncontrolled Keywords: |
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URI: | http://kups.ub.uni-koeln.de/id/eprint/40493 |
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