Multiplicities of compact Lie group representations via Berezin quantization

Authors

  • Benjamin Cahen Université de Metz, UFR-MIM, Département de mathématiques, LMMAS, ISGMP-Bât. A, Ile du Saulcy 57045, Metz cedex 01, France Author

Keywords:

Decomposition of a unitary representation, Berezin quantization, Berezin symbol, multiplicity, flag manifold, semi-simple compact Lie group

Subjects:

22E46, 43A65, 32M10, 46E22, 81S30

Abstract

Let $G$ be a compact Lie group and $\pi$be a unitary representation of $G$ on a reproducing kernel Hilbertspace. We study some applications of Berezin quantization to thedescription of the irreducible decomposition of $\pi$.

Published

2008-10-15

Issue

Vol. 60 No. 4 (2008): Vol. 60, Issue 4

Section

Articles

License

Copyright (c) 2008 Authors retain copyright to their work.

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.