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Poisson Geometry, Deformation Quantisation and Group Representations
Language: en
Pages: 380
Authors: Simone Gutt
Categories: Mathematics
Type: BOOK - Published: 2005-06-21 - Publisher: Cambridge University Press

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An accessible introduction to Poisson geometry suitable for graduate students.
Deformation Quantization for Actions of $R^d$
Language: en
Pages: 110
Authors: Marc Aristide Rieffel
Categories: Mathematics
Type: BOOK - Published: 1993 - Publisher: American Mathematical Soc.

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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 manifo
Poisson Geometry in Mathematics and Physics
Language: en
Pages: 330
Authors: Giuseppe Dito
Categories: Mathematics
Type: BOOK - Published: 2008 - Publisher: American Mathematical Soc.

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This volume is a collection of articles by speakers at the Poisson 2006 conference. The program for Poisson 2006 was an overlap of topics that included deformat
Poisson Structures
Language: en
Pages: 470
Authors: Camille Laurent-Gengoux
Categories: Mathematics
Type: BOOK - Published: 2012-08-27 - Publisher: Springer Science & Business Media

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Poisson structures appear in a large variety of contexts, ranging from string theory, classical/quantum mechanics and differential geometry to abstract algebra,
Nonlinear Poisson Brackets
Language: en
Pages: 384
Authors: Mikhail Vladimirovich Karasev
Categories: Mathematics
Type: BOOK - Published: 1993 - Publisher: American Mathematical Soc.

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This book deals with two old mathematical problems. The first is the problem of constructing an analog of a Lie group for general nonlinear Poisson brackets. Th