Poisson geometry, deformation quantisation and group representations / edited by Simone Gutt, John Rawnsley, Daniel Sternheimer.

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Poisson geometry lies at the cusp of noncommutative algebra and differential geometry, with natural and important links to classical physics and quantum mechanics. This book presents an introduction to the subject from a small group of leading researchers, and the result is a volume accessible to gr...

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Bibliographic Details
Uniform Title:London Mathematical Society lecture note series ; 323.
Corporate Author: London Mathematical Society (Issuing body)
Other Authors: Gutt, Simone (Editor)
Rawnsley, John H. (John Howard), 1947- (Editor)
Sternheimer, Daniel (Editor)
Language:English
Published: Cambridge : Cambridge University Press, 2005.
Series:London Mathematical Society lecture note series ; 323.
Subjects:
Poisson manifolds.
Poisson algebras.
Representations of groups.
Online Access:
Connect to online resource - MSU authorized users (Digital Object Identifier Permalink)
Physical Description:1 online resource (x, 359 pages) : digital, PDF file(s).
Variant Title:
Poisson Geometry, Deformation Quantisation & Group Representations.
Format: Electronic eBook

MARC

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505 0 0 |g pt. 1.  |t Poisson geometry and Morita equivalence --  |g 1.  |t Introduction --  |g 2.  |t Poisson geometry and some generalizations --  |g 3.  |t Algebraic Morita equivalence --  |g 4.  |t Geometric Morita equivalence --  |g 5.  |t Geometric representation equivalence --  |g pt. 2.  |t Formality and star products --  |g 1.  |t Introduction --  |g 2.  |t The star product --  |g 3.  |t Rephrasing the main problem : the formality --  |g 4.  |t Digression : what happens in the dual --  |g 5.  |t The Kontsevich formula --  |g 6.  |t From local to global deformation quantization --  |g pt. 3.  |t Lie groupoids, sheaves and cohomology --  |g 1.  |t Introduction --  |g 2.  |t Lie groupoids --  |g 3.  |t Sheaves on Lie groupoids --  |g 4.  |t Sheaf cohomology --  |g 5.  |t Compactly supported cohomology --  |g pt. 4.  |t Geometric methods in representation theory. 
520 |a Poisson geometry lies at the cusp of noncommutative algebra and differential geometry, with natural and important links to classical physics and quantum mechanics. This book presents an introduction to the subject from a small group of leading researchers, and the result is a volume accessible to graduate students or experts from other fields. The contributions are: Poisson Geometry and Morita Equivalence by Bursztyn and Weinstein; Formality and Star Products by Cattaneo; Lie Groupoids, Sheaves and Cohomology by Moerdijk and Mrcun; Geometric Methods in Representation Theory by Schmid; Deformation Theory: A Powerful Tool in Physics Modelling by Sternheimer. 
650 0 |a Poisson manifolds.  |0 http://id.loc.gov/authorities/subjects/sh87008043 
650 0 |a Poisson algebras.  |0 http://id.loc.gov/authorities/subjects/sh87008044 
650 0 |a Representations of groups.  |0 http://id.loc.gov/authorities/subjects/sh85112944 
700 1 |a Gutt, Simone,  |e editor.  |0 http://id.loc.gov/authorities/names/n85102009 
700 1 |a Rawnsley, John H.  |q (John Howard),  |d 1947-  |e editor.  |0 http://id.loc.gov/authorities/names/n79023863 
700 1 |a Sternheimer, Daniel,  |e editor.  |0 http://id.loc.gov/authorities/names/n97063116 
710 2 |a London Mathematical Society,  |e issuing body.  |0 http://id.loc.gov/authorities/names/n79118957 
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