Journal Home Page

Cumulative Index

List of all Volumes

Complete Contents
of this Volume

Previous Article

Next Article
 


Journal of Lie Theory 19 (2009), No. 2, 291--310
Copyright Heldermann Verlag 2009



Contraction of Discrete Series via Berezin Quantization

Benjamin Cahen
Dép. de Mathématiques, LMMAS -- ISGMP-Bat. A, Ile du Saulcy, 57045 Metz 01, France
cahen@math.univ-metz.fr



We establish and study a contraction of the holomorphic discrete series representations of a non-compact semi-simple Lie group to the unitary irreducible representations of a Heisenberg group by means of Berezin quantization.

Keywords: Contraction of representations, holomorphic discrete series, semisimple Lie group, reproducing kernel Hilbert space, coherent states, Berezin quantization, Berezin symbols.

MSC: 22E46, 81R30, 46E22

[ Fulltext-pdf  (226  KB)] for subscribers only.