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Groups and Related Topics

Proceedings of the First Max Born Symposium

  • Conference proceedings
  • © 1992

Overview

Editors:
  1. R. Gielerak

    1. Institute of Theoretical Physics, University of Wrocław, Wrocław, Poland

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  2. J. Lukierski

    1. Institute of Theoretical Physics, University of Wrocław, Wrocław, Poland

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  3. Z. Popowicz

    1. Institute of Theoretical Physics, University of Wrocław, Wrocław, Poland

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Part of the book series: Mathematical Physics Studies (MPST, volume 13)

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Table of contents (23 papers)

  1. Front Matter

    Pages i-viii
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  2. Quantum Groups

    1. Front Matter

      Pages 1-1
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    2. Sugawara Construction and the Q-Deformation of Virasoro Algebra

      • M. Chaichian, P. Prešnajder
      Pages 3-12

    3. Complex Quantum Groups and Their Dual Hopf Algebras

      • Bernhard Drabant, Michael Schlieker, Wolfgang Weich, Bruno Zumino
      Pages 13-22

    4. Extremal projector and universal R-matrix for quantized contragredient Lie (super)algebras

      • S. M. Khoroshkin, V. N. Tolstoy
      Pages 23-32

    5. Quantum Deformations of D = 4 Poincaré Algebra

      • Jerzy Lukierski, Anatol Nowicki
      Pages 33-44

    6. “Quantum group” structure and “covariant” differential calculus on symmetric algebras corresponding to commutation factors on Z n

      • Rainer Matthes
      Pages 45-54

    7. Remarks on the Use of R-matrices

      • Arne Schirrmacher
      Pages 55-65

    8. Construction of Some Hopf Algebras

      • E. Sorace
      Pages 67-81

    9. Realifications of complex quantum groups

      • S. Zakrzewski
      Pages 83-100

  3. Non Commutative Differential Geometry

    1. Front Matter

      Pages 101-101
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    2. On Multigraded Differential Calculus

      • Andrzej Borowiec, Władysław Marcinek, Zbigniew Oziewicz
      Pages 103-114

    3. Yang Mills fields and symmetry breaking: From Lie super-algebras to non commutative geometry

      • R. Coquereaux
      Pages 115-127

    4. Differential and Integral Calculus on the Quantum C-Plane

      • J. Rembieliński
      Pages 129-139

  4. Integrable Systems

    1. Front Matter

      Pages 141-141
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    2. Rigorous Approach to Abelian Chern-Simons Theory

      • S. Albeverio, J. Schäfer
      Pages 143-152

    3. The Conformal Block Structure of Perturbation Theory in Two Dimensions

      • Rainald Flume
      Pages 153-163

    4. An alternative dynamical description of Quantum Systems

      • Benno Fuchssteiner
      Pages 165-178

    5. On the solutions of the Yang-Baxter equations

      • Ladislav Hlavatý
      Pages 179-188

    6. State sum invariants of compact 3-manifolds with boundary and 6j-symbols

      • M. Karowski, W. Müller, R. Schrader
      Pages 189-196
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Keywords

About this book

In the seventies and eighties, scientific collaboration between the Theory Section of the Physics Department of Leipzig University and the Institute of Theoretical Physics of the University of Wroolaw was established. This manifested itself, among other things, in the organization of regular, twice-yearly seminars located alternatively in Wrodaw and Leipzig. These Seminars in Theoretical Physics took place 27 times, the last during November 1990. In order to continue the traditions of German-Polish contacts in theoretical physics, we decided to start a new series of Seminars in Theoretical Physics and name them after the outstanding German theoretical physicist Max Born who was born in 1883 in Wrodaw. We hope that these seminars will continue to contribute to better scientific contacts and understanding between German and Polish theoretical physicists. The First Max Born Symposium was held in Wojnowice Castle, 20 km west of Wrodaw, 27 - 29 September 1991. Wojnowice Castle was built in the 16th century by the noble Boner family, in the Renaissance style, and has been recently adapted as a small conference center. The preferred subjects at the Symposium were Quantum Groups and Integrable Models. The Symposium was organized by Doctors R. Gielerak and Z. Popowicz under the scientific supervision of the undersigned.

Editors and Affiliations

  • Institute of Theoretical Physics, University of Wrocław, Wrocław, Poland

    R. Gielerak, J. Lukierski, Z. Popowicz

Bibliographic Information

  • Book Title: Groups and Related Topics

  • Book Subtitle: Proceedings of the First Max Born Symposium

  • Editors: R. Gielerak, J. Lukierski, Z. Popowicz

  • Series Title: Mathematical Physics Studies

  • DOI: https://doi.org/10.1007/978-94-011-2801-8

  • Publisher: Springer Dordrecht

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media Dordrecht 1992

  • Hardcover ISBN: 978-0-7923-1924-5Published: 31 August 1992

  • Softcover ISBN: 978-94-010-5244-3Published: 26 October 2012

  • eBook ISBN: 978-94-011-2801-8Published: 06 December 2012

  • Series ISSN: 0921-3767

  • Series E-ISSN: 2352-3905

  • Edition Number: 1

  • Number of Pages: VIII, 275

  • Topics: Theoretical, Mathematical and Computational Physics

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