Symmetric Spaces and star representations III. The Poincare Disk

Simple item page
dc.creatorBieliavsky, P.
dc.creatorPevzner, M.
dc.date2002-09-17
dc.date.accessioned2026-07-07T04:50:56Z
dc.date.available2026-07-07T04:50:56Z
dc.descriptionThis article is a contribution to the domain of (convergent) deformation quantization of symmetric spaces by use of Lie groups representation theory. We realize the regular representation of $SL(2,\R)$ on the space of smooth functions on the Poincaré disc as a sub-representation of $SL(2,\R)$ in the Weyl-Moyal star product algebra on $\R^2$. We indicate how it is possible to extend our construction to the general case of a Hermitian symmetric space of tube type.
dc.identifierhttps://arxiv.org/abs/math/0209206
dc.identifierhttp://arxiv.org/abs/math/0209206
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/64969
dc.subjectRepresentation Theory
dc.subjectQuantum Algebra
dc.subject22E46, 53C35, 81S10
dc.titleSymmetric Spaces and star representations III. The Poincare Disk
dc.typetext

Files

Collections

arXiv