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Poisson Geometry, Deformation Quantisation and Group Representations

Poisson Geometry, Deformation Quantisation and Group Representations

Part of London Mathematical Society Lecture Note Series

Henrique Bursztyn, Alan Weinstein, Alberto S. Cattaneo, D. Indelicato, Ieke Moerdijk, Janez Mrcun, Wilfried Schmid, Matvei Libine, Daniel Sternheimer
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  • Date Published: June 2005
  • availability: Available
  • format: Paperback
  • isbn: 9780521615051

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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 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.

    • Presents an introduction to the subject from a small group of leading researchers
    • A volume accessible to graduate students or experts from other fields
    • Contributions from an array of leading researchers in the field
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    Product details

    • Date Published: June 2005
    • format: Paperback
    • isbn: 9780521615051
    • length: 370 pages
    • dimensions: 229 x 152 x 21 mm
    • weight: 0.54kg
    • availability: Available
  • Table of Contents

    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.

  • Editors

    Simone Gutt, Université Libre de Bruxelles

    John Rawnsley, University of Warwick

    Daniel Sternheimer, Université de Bourgogne, France

    Contributors

    Henrique Bursztyn, Alan Weinstein, Alberto S. Cattaneo, D. Indelicato, Ieke Moerdijk, Janez Mrcun, Wilfried Schmid, Matvei Libine, Daniel Sternheimer

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