2000/11/30 by R. Fioresi, A. Levrero, M. A. Lledó
Mathematics · Physics and Astronomy · #math.QA #hep-th
published as Pacific J.Math. 206 (2002) 321-337 · AMS-LaTeX, 20 pages. Version to appear in the Pacific Journal of Mathematics
arxiv created 2001/05/29 · arxiv updated 2009/11/30
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.