Lifting central invariants of quantized Hamiltonian actions
Quantum Algebra
2009-09-14 v2 Symplectic Geometry
Abstract
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.
Cite
@article{arxiv.0708.0630,
title = {Lifting central invariants of quantized Hamiltonian actions},
author = {Ivan V. Losev},
journal= {arXiv preprint arXiv:0708.0630},
year = {2009}
}
Comments
v1 9 pages, v2 final version 10 pages