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Poisson geometry, deformation quantisation and group representations


Poisson geometry, deformation quantisation and group representations. Edited by: Gutt, S; Rawnsley, J; Sternheimer, D (2005). Cambridge: Cambridge University Press.

Abstract

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.

Abstract

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.

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Additional indexing

Contributors:Henrique Bursztyn, Alan Weinstein, Alberto S. Cattaneo, D. Indelicato, Ieke Moerdijk, Janez Mrcun, Wilfried Schmid, Matvei Libine, Daniel Sternheimer
Item Type:Edited Scientific Work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:510 Mathematics
Date:2005
Deposited On:29 Jan 2010 07:45
Last Modified:11 Aug 2017 06:40
Publisher:Cambridge University Press
Series Name:London Mathematical Society Lecture Note Series
Volume:323
ISBN:9780521615051
Publisher DOI:https://doi.org/10.2277/0521615054

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