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Quantum Groups

  • Textbook
  • © 1995

Overview

Authors:
  1. Christian Kassel

    1. Institut de Recherche Mathématique Avancée, Université Louis Pasteur-C.N.R.S., Strasbourg, France

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Part of the book series: Graduate Texts in Mathematics (GTM, volume 155)

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Table of contents (20 chapters)

  1. Front Matter

    Pages i-xii
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  2. Quantum SL(2)

    1. Front Matter

      Pages 1-1
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    2. Preliminaries

      • Christian Kassel
      Pages 3-22

    3. Tensor Products

      • Christian Kassel
      Pages 23-38

    4. The Language of Hopf Algebras

      • Christian Kassel
      Pages 39-71

    5. The Quantum Plane and Its Symmetries

      • Christian Kassel
      Pages 72-92

    6. The Lie Algebra of SL(2)

      • Christian Kassel
      Pages 93-120

    7. The Quantum Enveloping Algebra of sl(2)

      • Christian Kassel
      Pages 121-139

    8. A Hopf Algebra Structure on Uq(sl(2))

      • Christian Kassel
      Pages 140-163

  3. Universal R-Matrices

    1. Front Matter

      Pages 165-165
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    2. The Yang-Baxter Equation and (Co)Braided Bialgebras

      • Christian Kassel
      Pages 167-198

    3. Drinfeld’s Quantum Double

      • Christian Kassel
      Pages 199-238

  4. Low-Dimensional Topology and Tensor Categories

    1. Front Matter

      Pages 239-239
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    2. Knots, Links, Tangles, and Braids

      • Christian Kassel
      Pages 241-274

    3. Tensor Categories

      • Christian Kassel
      Pages 275-293

    4. The Tangle Category

      • Christian Kassel
      Pages 294-313

    5. Braidings

      • Christian Kassel
      Pages 314-338

    6. Duality in Tensor Categories

      • Christian Kassel
      Pages 339-367

    7. Quasi-Bialgebras

      • Christian Kassel
      Pages 368-382

  5. Quantum Groups and Monodromy

    1. Front Matter

      Pages 383-383
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Keywords

Authors and Affiliations

  • Institut de Recherche Mathématique Avancée, Université Louis Pasteur-C.N.R.S., Strasbourg, France

    Christian Kassel

Bibliographic Information

  • Book Title: Quantum Groups

  • Authors: Christian Kassel

  • Series Title: Graduate Texts in Mathematics

  • DOI: https://doi.org/10.1007/978-1-4612-0783-2

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 1995

  • Hardcover ISBN: 978-0-387-94370-1Published: 04 November 1994

  • Softcover ISBN: 978-1-4612-6900-7Published: 08 October 2012

  • eBook ISBN: 978-1-4612-0783-2Published: 06 December 2012

  • Series ISSN: 0072-5285

  • Series E-ISSN: 2197-5612

  • Edition Number: 1

  • Number of Pages: XII, 534

  • Topics: K-Theory, Quantum Physics, Quantum Information Technology, Spintronics

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