Algebraic and Differential Star Products on Regular Orbits of Compact Lie Groups

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

In this paper we study a family of algebraic deformations of regular coadjoint orbits of compact semisimple Lie groups with the Kirillov Poisson bracket. The deformations are restrictions of deformations on the dual of the Lie algebra. We prove that there are non isomorphic deformations in the family. The star products are not differential, unlike the star products considered in other approaches. We make a comparison with the differential star product canonically defined by Kontsevich's map.
AMS-LaTeX, 20 pages. Version to appear in the Pacific Journal of Mathematics

Keywords

Quantum Algebra, High Energy Physics - Theory

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/60405

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0011172
 http://arxiv.org/abs/math/0011172
 Pacific J.Math. 206 (2002) 321-337

Collections

arXiv