TY  - BOOK
AU  - Gutt,Simone
AU  - Rawnsley,John H.
AU  - Sternheimer,Daniel
ED  - London Mathematical Society,
TI  - Poisson geometry, deformation quantisation and group representations
T2  - London Mathematical Society lecture note series
SN  - 9780511734878 (ebook)
AV  - QA614.3 .P648 2005
U1  - 516.36 22
PY  - 2005///
CY  - Cambridge
PB  - Cambridge University Press
KW  - Poisson manifolds
KW  - Poisson algebras
KW  - Representations of groups
N1  - Title from publisher's bibliographic system (viewed on 05 Oct 2015); 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
N2  - 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
UR  - https://doi.org/10.1017/CBO9780511734878
ER  -