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

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

2001-06-15

arxiv.org/abs/math/0106129v3

J.Phys.A35:5687-5700,2002

Mathematics

Quantum Algebra

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

Scientific paper

10.1088/0305-4470/35/27/310

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.

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