Poisson geometry, deformation quantisation and group representations
By: edited by Simone Gutt, John Rawnsley, Daniel Sternheimer
Contributors: Gutt, Simone; Rawnsley, John H. 1947-; Sternheimer, Daniel; London Mathematical Society
Series: London Mathematical Society lecture note series -- 323
Publisher: Cambridge University Press
Published: 2005
Place of publication: Cambridge, UK; New York
Language: eng
Number of pages: 359
Subjects: Poisson manifolds; Poisson algebras; Representations of groups
Description: 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.
Notes: "Lecture courses given to the EuroSchool PQR2003 on "Poisson Geometry, Deformation Quantisation and Group Representations" held at the Université Libre de Bruxelles from the 13th to the 17th of June, 2003"--Pref

Includes bibliographical references and index