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Quantum Groups and Noncommutative Spaces

Perspectives on Quantum Geometry

  • Textbook
  • © 2011

Overview

Editors:
  1. Matilde Marcolli

    1. Mathematics Department, California Institute of Technology, Pasadena, CA, USA

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  2. Deepak Parashar

    1. Department of Oncology, University of Cambridge, Cambridge

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    You can also search for this editor in PubMed   Google Scholar

  • Broad surveys of recent developments in both fields

Part of the book series: Aspects of Mathematics (ASMA)

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Table of contents (10 chapters)

  1. Front Matter

    Pages i-viii
    Download chapter PDF

  2. Hopf-cyclic homology with contramodule coefficients

    • Tomasz BrzeziÅ„ski
    Pages 1-8

  3. Moduli Spaces of Dirac Operators for Finite Spectral Triples

    • Branimir Ćaćić
    Pages 9-68

  4. Tensor representations of the general linear super group

    • Rita Fioresi
    Pages 69-79

  5. Quantum duality principle for quantum Grassmannians

    • Rita Fioresi, Fabio Gavarini
    Pages 80-95

  6. Some remarks on the action of quantum isometry groups

    • Debashish Goswami
    Pages 96-103

  7. Generic Hopf Galois extensions

    • Christian Kassel
    Pages 104-120

  8. Quantizing the Moduli Space of Parabolic Higgs Bundles

    • Avijit Mukherjee
    Pages 121-129

  9. Locally compact quantum groups. Radford’s S4 formula

    • Alfons Van Daele
    Pages 130-145

  10. Categorical aspects of Hopf algebras

    • Robert Wisbauer
    Pages 146-163

  11. Laplacians and gauged Laplacians on a quantum Hopf bundle

    • Alessandro Zampini
    Pages 164-240
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Keywords

About this book

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.

Editors and Affiliations

  • Mathematics Department, California Institute of Technology, Pasadena, CA, USA

    Matilde Marcolli

  • Department of Oncology, University of Cambridge, Cambridge

    Deepak Parashar

About the editors

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.

Bibliographic Information

  • Book Title: Quantum Groups and Noncommutative Spaces

  • Book Subtitle: Perspectives on Quantum Geometry

  • Editors: Matilde Marcolli, Deepak Parashar

  • Series Title: Aspects of Mathematics

  • DOI: https://doi.org/10.1007/978-3-8348-9831-9

  • Publisher: Vieweg+Teubner Verlag Wiesbaden

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Vieweg+Teubner Verlag | Springer Fachmedien Wiesbaden GmbH, Wiesbaden 2011

  • Hardcover ISBN: 978-3-8348-1442-5Published: 30 September 2010

  • Softcover ISBN: 978-3-8348-2689-3Published: 24 September 2014

  • eBook ISBN: 978-3-8348-9831-9Published: 02 November 2010

  • Series ISSN: 0179-2156

  • Edition Number: 1

  • Number of Pages: VIII, 240

  • Topics: Geometry

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