Deformation quantization of pseudo-symplectic (Poisson) groupoids

被引：26

作者：

Tang, Xiang ^{[1
]}

机构：

[1] Univ Calif Davis, Dept Math, Davis, CA 95616 USA

来源：

GEOMETRIC AND FUNCTIONAL ANALYSIS | 2006年 / 16卷 / 03期

关键词：

groupoid; Poisson structure; quantization; formality;

D O I：

10.1007/s00039-006-0567-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We introduce a new kind of groupoid-a pseudo-etale groupoid, which provides many interesting examples of noncommutative Poisson algebras as defined by Block, Getzler, and Xu. Following the idea that symplectic and Poisson geometries are the semiclassical limits of the corresponding quantum geometries, we quantize these noncommutative Poisson algebras in the framework of deformation quantization.

引用

页码：731 / 766

页数：36

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