Deformation Quantization of Non Regular Orbits of Compact Lie Groups

Abstract

In this paper we construct a deformation quantization of the algebra of polynomials of an arbitrary (regular and non regular) coadjoint orbit of a compact semisimple Lie group. The deformed algebra is given as a quotient of the enveloping algebra by a suitable ideal.

AMS-LaTeX, 14 pages. Some changes in Lemma 3.2