关于CP ^n的约化非等价星积的注记
A Remark on Non-equivalent Star Products via Reduction for CP^n
摘要：
本文利用相空间约化构造了CP^n上的非等价星积。结果表明，在相空间约化的背景下，通过将C^{n+1} {0}上U（1）作用量的动量映射变形为量子动量映射，并将相应的动量值变形为量子动量值，使得水平集i. e.量子动量映射的“约束面”与经典的一致。通过这种构造，得到了CP^n上星积的所有等价类.
英文摘要：
In this paper we construct non-equivalent star products on CP^n by phase space reduction. It turns out that the non-equivalent star products occur very natural in the context of phase space reduction by deforming the momentum map of the U(1)-action on C^{n+1} {0} into a quantum momentum map and the corresponding momentum value into a quantum momentum value such that the level set, i.~e. the `constraint surface', of the quantum momentum map coincides with the classical one. All equivalence classes of star products on CP^n are obtained by this construction.
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