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

References in corpus (3)

• Deformation quantization of Poisson manifolds, I
• A Comparison between Star Products on Regular Orbits of Compact Lie Groups
• On the deformation quantization of coadjoint orbits of semisimple Lie groups

Cited by in corpus (5)

• A Comparison between Star Products on Regular Orbits of Compact Lie Groups
• On algebraic supergroups, coadjoint orbits and their deformations
• A review on deformation quantization of coadjoint orbits of semisimple Lie groups
• On the deformation quantization of affine algebraic varieties
• Deformation Quantization on Singular Coadjoint Orbits