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Quantum Groups

Proceedings of Workshops held in the Euler International Mathematical Institute, Leningrad, Fall 1990

  • Editors
  • Petr P. Kulish

Part of the Lecture Notes in Mathematics book series (LNM, volume 1510)

Table of contents

  1. Front Matter
    Pages I-XII
  2. Murray Gerstenhaber, Anthony Giaquinto, Samuel D. Schack
    Pages 9-46
  3. L. I. Korogodsky, L. L. Vaksman
    Pages 56-66
  4. Vladimir Lyubashenko
    Pages 67-78
  5. Masatoshi Noumi, Katsuhisa Mimachi
    Pages 98-103
  6. Earl J. Taft
    Pages 138-141
  7. A. Alekseev, L. Faddeev, M. Semenov-Tian-Shansky
    Pages 148-158
  8. L. C. Biedenharn, M. A. Lohe
    Pages 197-209
  9. H. W. Braden, E. Corrigan, P. E. Dorey, R. Sasaki
    Pages 210-220
  10. E. Celeghini, R. Giachetti, E. Sorace, M. Tarlini
    Pages 221-244
  11. Jean-Loup Gervais
    Pages 259-276
  12. L. K. Hadjiivanov, R. R. Paunov, I. T. Todorov
    Pages 277-302
  13. Atsuo Kuniba, Tomoki Nakanishi
    Pages 303-311
  14. F. W. Nijhoff, V. G. Papageorgiou, H. W. Capel
    Pages 312-325
  15. Miki Wadati, Tetsuo Deguchi, Yasuhiro Akutsu
    Pages 373-388
  16. Shahn Majid
    Pages 391-392
  17. Ya. S. Soibelman
    Pages 393-393
  18. Earl J. Taft
    Pages 394-394
  19. Back Matter
    Pages 397-398

About these proceedings

Introduction

The theory of Quantum Groups is a rapidly developing area with numerous applications in mathematics and theoretical physics, e.g. in link and knot invariants in topology, q-special functions, conformal field theory, quantum integrable models. The aim of the Euler Institute's workshops was to review and compile the progress achieved in the different subfields. Near 100 participants came from 14 countries. More than 20 contributions written up for this book contain new, unpublished material and half of them include a survey of recent results in the field (deformation theory, graded differential algebras, contraction technique, knot invariants, q-special functions). FROM THE CONTENTS: V.G. Drinfeld: On Some Unsolved Problems in Quantum Group Theory.- M. Gerstenhaber, A. Giaquinto, S.D. Schack: Quantum Symmetry.- L.I. Korogodsky,L.L. Vaksman: Quantum G-Spaces and Heisenberg Algebra.-J. Stasheff: Differential Graded Lie Algebras, Quasi-Hopf Algebras and Higher Homotopy Algebras.- A.Yu. Alekseev, L.D. Faddeev, M.A. Semenov-Tian-Shansky: Hidden Quantum Groups inside Kac-Moody Algebras.- J.-L. Gervais: Quantum Group Symmetry of 2D Gravity.- T. Kohno: Invariants of 3-Manifolds Based on Conformal Field Theory and Heegaard Splitting.- O. Viro: Moves of Triangulations of a PL-Manifold.

Keywords

Quantum Algebras Quantum Groups Representation Theory Symmetries Theoretical physics Topology algebra

Bibliographic information

  • DOI https://doi.org/10.1007/BFb0101174
  • Copyright Information Springer-Verlag Berlin Heidelberg 1992
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-55305-2
  • Online ISBN 978-3-540-47020-5
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • Buy this book on publisher's site