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Deformation Quantization for Actions of $R^d$
Marc Aristide Rieffel
出版American Mathematical Soc., 1993
主題Mathematics / Algebra / GeneralMathematics / Algebra / LinearMathematics / CalculusMathematics / Probability & Statistics / GeneralMathematics / TopologyPhotography / Subjects & Themes / Plants & Animals
ISBN08218257559780821825754
URLhttp://books.google.com.hk/books?id=k4fUCQAAQBAJ&hl=&source=gbs_api
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註釋This work describes a general construction of a deformation quantization for any Poisson bracket on a manifold which comes from an action of R ]d on that manifold. These deformation quantizations are strict, in the sense that the deformed product of any two functions is again a function and that there are corresponding involutions and operator norms. Many of the techniques involved are adapted from the theory of pseudo-differential operators. The construction is shown to have many favorable properties. A number of specific examples are described, ranging from basic ones such as quantum disks, quantum tori, and quantum spheres, to aspects of quantum groups.