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" Poisson Geometry, Deformation Quantisation and Group Representations "
edited by Simone Gutt, John Rawnsley, Daniel Sternheimer.
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BL
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| Record Number
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784309
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b604323
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| Main Entry
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edited by Simone Gutt, John Rawnsley, Daniel Sternheimer.
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| Title & Author
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Poisson Geometry, Deformation Quantisation and Group Representations\ edited by Simone Gutt, John Rawnsley, Daniel Sternheimer.
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| Publication Statement
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Cambridge: Cambridge University Press, 2005
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| Series Statement
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London Mathematical Society Lecture Note Series, no. 323.
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| Page. NO
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(370 p.).
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| ISBN
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0511734875
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: 0521615054
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: 1107362652
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: 1107367565
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: 9780511734878
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: 9780521615051
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: 9781107362659
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: 9781107367562
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| Contents
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Pt. 1. Poisson geometry and Morita equivalence --; 1. Introduction --; 2. Poisson geometry and some generalizations --; 3. Algebraic Morita equivalence --; 4. Geometric Morita equivalence --; 5. Geometric representation equivalence --; pt. 2. Formality and star products --; 1. Introduction --; 2. The star product --; 3. Rephrasing the main problem : the formality --; 4. Digression : what happens in the dual --; 5. The Kontsevich formula --; 6. From local to global deformation quantization --; pt. 3. Lie groupoids, sheaves and cohomology --; 1. Introduction --; 2. Lie groupoids --; 3. Sheaves on Lie groupoids --; 4. Sheaf cohomology --; 5. Compactly supported cohomology --; pt. 4. Geometric methods in representation theory.
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| Abstract
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An accessible introduction to Poisson geometry suitable for graduate students.
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Daniel Sternheimer
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John Rawnsley
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Simone Gutt
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