The dirac operator and the principal series for complex semisimple lie groups
The dirac operator and the principal series for complex semisimple lie groups
The Dirac operator plays a fundamental role in the geometric construction of the discrete series for semisimple Lie groups. We show that, at the level of K-theory, the Dirac operator also plays a central role in connection with the principal series for complex connected semisimple Lie groups. This proves the Connes-Kasparov conjecture for such groups.
269-286
Penington, M. G.
db035151-554d-4ed3-8dfd-d6f445847c1e
Plymen, R. J.
76de3dd0-ddcb-4a34-98e1-257dddb731f5
1 October 1983
Penington, M. G.
db035151-554d-4ed3-8dfd-d6f445847c1e
Plymen, R. J.
76de3dd0-ddcb-4a34-98e1-257dddb731f5
Penington, M. G. and Plymen, R. J.
(1983)
The dirac operator and the principal series for complex semisimple lie groups.
Journal of Functional Analysis, 53 (3), .
(doi:10.1016/0022-1236(83)90035-6).
Abstract
The Dirac operator plays a fundamental role in the geometric construction of the discrete series for semisimple Lie groups. We show that, at the level of K-theory, the Dirac operator also plays a central role in connection with the principal series for complex connected semisimple Lie groups. This proves the Connes-Kasparov conjecture for such groups.
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Published date: 1 October 1983
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Local EPrints ID: 422329
URI: http://eprints.soton.ac.uk/id/eprint/422329
ISSN: 0022-1236
PURE UUID: af931be5-f139-4be4-9ce8-110bf30de669
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Date deposited: 20 Jul 2018 16:31
Last modified: 15 Mar 2024 20:27
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Author:
M. G. Penington
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