Lifting central invariants of quantized Hamiltonian actions

Details Lifting central invariants of quantized Hamiltonian actions Lifting central invariants of quantized Hamiltonian actions

2007-08-04

arxiv.org/abs/0708.0630v2

Moscow Math. J., 9(2009), N2, 359-369

Mathematics

Quantum Algebra

v1 9 pages, v2 final version 10 pages

Scientific paper

Let G be a connected reductive group over an algebraically closed field K of characteristic 0, X an affine symplectic variety equipped with a Hamiltonian action of G. Further, let * be a G-invariant Fedosov star-product on X such that the Hamiltonian action is quantized. We establish an isomorphism between the center of the associative algebra K[X][[h]]^G and the algebra of formal power series with coefficients in the Poisson center of K[X]^G.

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