MATEMATIČKI VESNIK
МАТЕМАТИЧКИ ВЕСНИК



MATEMATIČKI VESNIK
Multiplicities of compact Lie group representations via Berezin quantization
Benjamin Cahen

Abstract

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

Creative Commons License

Keywords: Decomposition of a unitary representation; Berezin quantization; Berezin symbol; multiplicity; flag manifold; semi-simple compact Lie group.

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

Pages:  295--309     

Volume  60 ,  Issue  4 ,  2008