Poisson geometry, deformation quantisation and group representations
著者
書誌事項
Poisson geometry, deformation quantisation and group representations
(London Mathematical Society lecture note series, 323)
Cambridge University Press, 2005
- : pbk
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注記
"This volume is devoted to the 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
内容説明・目次
内容説明
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.
目次
- 1. Poisson geometry and Morita equivalence Henrique Bursztyn and Alan Weinstein
- 2. Formality and star products Alberto S. Cattaneo and D. Indelicato
- 3. Lie groupoids, sheaves and cohomology Ieke Moerdijk and Janez Mrcun
- 4. Geometric methods in representation theory Wilfried Schmid and Matvei Libine
- 5. Deformation theory: a powerful tool in physics modelling Daniel Sternheimer.
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