A Comparison between Star Products on Regular Orbits of Compact Lie Groups
Quantum Algebra
2008-11-26 v3 High Energy Physics - Theory
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.
Cite
@article{arxiv.math/0106129,
title = {A Comparison between Star Products on Regular Orbits of Compact Lie Groups},
author = {R. Fioresi and M. A. Lledo},
journal= {arXiv preprint arXiv:math/0106129},
year = {2008}
}
Comments
AMS-LaTeX, 19 pages. Version to appear in the Journal of Physics A