Open Access
Spring 2009 Contraction of compact semisimple lie groups via Berezin quantization
Benjamin Cahen
Illinois J. Math. 53(1): 265-288 (Spring 2009). DOI: 10.1215/ijm/1264170850

Abstract

We establish contractions of the unitary irreducible representations of a compact semisimple Lie group to the unitary irreducible representations of a Heisenberg group by means of Berezin quantization.

Citation

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Benjamin Cahen. "Contraction of compact semisimple lie groups via Berezin quantization." Illinois J. Math. 53 (1) 265 - 288, Spring 2009. https://doi.org/10.1215/ijm/1264170850

Information

Published: Spring 2009
First available in Project Euclid: 22 January 2010

zbMATH: 1185.22008
MathSciNet: MR2584946
Digital Object Identifier: 10.1215/ijm/1264170850

Subjects:
Primary: 22E46 , 46E22 , 81R30

Rights: Copyright © 2009 University of Illinois at Urbana-Champaign

Vol.53 • No. 1 • Spring 2009
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