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Quantum Groups and Noncommutative Spaces

Perspectives on Quantum Geometry

  • Matilde Marcolli
  • Deepak Parashar

Table of contents

  1. Front Matter
    Pages i-viii
  2. Rita Fioresi, Fabio Gavarini
    Pages 80-95
  3. Christian Kassel
    Pages 104-120
  4. Robert Wisbauer
    Pages 146-163

About this book

Introduction

This book is aimed at presenting different methods and perspectives in the theory of Quantum Groups, bridging between the algebraic, representation theoretic, analytic, and differential-geometric approaches. It also covers recent developments in Noncommutative Geometry, which have close relations to quantization and quantum group symmetries. The volume collects surveys by experts which originate from an acitvity at the Max-Planck-Institute for Mathematics in Bonn.

Contributions byTomasz Brzezinski, Branimir Cacic, Rita Fioresi, Rita Fioresi and Fabio Gavarini, Debashish Goswami, Christian Kassel, Avijit Mukherjee, Alfons Van Daele, Robert Wisbauer, Alessandro Zampini

The volume is aimed as introducing techniques and results on Quantum Groups and Noncommutative Geometry, in a form that is accessible to other researchers in related areas as well as to advanced graduate students.
The topics covered are of interest to both mathematicians and theoretical physicists.


Prof. Dr. Matilde Marcolli, Department of Mathematics, California Institute of Technology, Pasadena, California, USA.
Dr. Deepak Parashar, Cambridge Cancer Trials Centre and MRC Biostatistics Unit, University of Cambridge, United Kingdom.

Keywords

Hopf algebras Noncommutative geometry Quantum groups quantization spectral triples

Editors and affiliations

  • Matilde Marcolli
    • 1
  • Deepak Parashar
    • 2
  1. 1.Mathematics DepartmentCalifornia Institute of TechnologyPasadena, CAUSA
  2. 2.Department of OncologyUniversity of CambridgeCambridge

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-8348-9831-9
  • Copyright Information Vieweg+Teubner Verlag | Springer Fachmedien Wiesbaden GmbH, Wiesbaden 2011
  • Publisher Name Vieweg+Teubner
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-8348-1442-5
  • Online ISBN 978-3-8348-9831-9
  • Buy this book on publisher's site
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