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 πbe a unitary representation of G on a reproducing kernel Hilbertspace. We study some applications of Berezin quantization to thedescription of the irreducible decomposition of π.

Published

2008-10-15