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arXiv 0708.0630math.QAmath.SG
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量子化哈密顿作用量的提升中心不变量

Lifting central invariants of quantized Hamiltonian actions

Ivan V. Losev

摘要:

设G是特征为0的代数闭域K上的连通约化群,X是G的具有Hamilton作用的仿射辛簇。进一步地,设 * 是X上的G-不变费多索夫星积,使得哈密顿作用量被量子化。建立了结合代数K[X][[h]]^G的中心与其Poisson中心上系数的形式幂级数代数之间的同构.

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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