A Comparison between Star Products on Regular Orbits of Compact Lie Groups

Abstract

In this paper an algebraic star product and differential one defined on a regular coadjoint orbit of a compact semisimple group are compared. It is proven that there is an injective algebra homomorphism between the algebra of polynomials with the algebraic star product and the algebra of differential functions with the differential star product structure.

AMS-LaTeX, 19 pages. Version to appear in the Journal of Physics A

References in corpus (2)

• Deformation quantization of algebraic varieties
• Deformation Quantization of Non Regular Orbits of Compact Lie Groups

Cited by in corpus (7)

• On algebraic supergroups, coadjoint orbits and their deformations
• Deformation Quantization of Non Regular Orbits of Compact Lie Groups
• Quantum twistors
• The Segre embedding of the quantum conformal superspace
• A review on deformation quantization of coadjoint orbits of semisimple Lie groups
• On the Dynamics of the Self Gravitating Ellipsoid in N dimensions and its Deformation Quantization
• Quantum supertwistors