Formal Symplectic Groupoid of a Deformation Quantization

被引：0
|
作者：
Alexander V. Karabegov
机构：
[1] Abilene Christian University,Department of Mathematics and Computer Science
来源：
Communications in Mathematical Physics | 2005年 / 258卷
关键词：
Neural Network; Manifold; Statistical Physic; Complex System; Nonlinear Dynamics;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We give a self-contained algebraic description of a formal symplectic groupoid over a Poisson manifold M. To each natural star product on M we then associate a canonical formal symplectic groupoid over M. Finally, we construct a unique formal symplectic groupoid ‘with separation of variables’ over an arbitrary Kähler-Poisson manifold.
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页码：223 / 256
页数：33
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