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math-ph2000
On quantizing semisimple basic algebras
Mark J. Gotay
We show that there is a consistent polynomial quantization of the coordinate ring of a basic nilpotent coadjoint orbit of a semisimple Lie group. We also show, at least in the case…
math.RA2000
Polynomial Algebras on Coadjoint Orbits of Semisimple Lie Groups
Mark J. Gotay, Janusz Grabowski, Bryon Kaneshige
We study the algebraic structure of the Poisson algebra P(O) of polynomials on a coadjoint orbit O of a semisimple Lie algebra. We prove that P(O) splits into a direct sum of its c…