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Deformation Quantization for Actions of R(d)
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Deformation Quantization for Actions of R(d) (Paperback)


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Synopsis

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.

Science & MathematicsMathematicsCalculus & mathematical analysisScience & MathematicsMathematicsTopologyAlgebraic topology Publisher: American Mathematical Society Publication Date: 15/12/1993 ISBN-13: 9780821825754  Details: Type: Paperback Format: Books
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