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Symmetries in Science VI

From the Rotation Group to Quantum Algebras

  • Book
  • © 1993

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Editors:
  1. Bruno Gruber

    1. Southern Illinois University at Carbondale in Niigata, Niigata, Japan

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Table of contents (63 chapters)

  1. Front Matter

    Pages i-xvii
    Download chapter PDF

  2. Deformable Media with Microstructure

    • T. Ackermann, E. Binz
    Pages 1-17

  3. Biorthogonal and Orthogonal Bases in the Missing Label Problem

    • Sigitas Ališauskas
    Pages 19-40

  4. Lie Ideals and Symmetric Bi-Derivations of Prime Rings

    • N. Argao, M. S. Yenigül
    Pages 41-45

  5. From Q-Oscillators to Quantum Groups

    • Metin Arik
    Pages 47-55

  6. An Analog of the Fourier Transformation for A q-Harmonic Oscillator

    • R. Askey, N. M. Atakishiyev, S. K. Suslov
    Pages 57-63

  7. Geometry, Group Theory and Partitions

    • Henri Bacry
    Pages 65-73

  8. Origin of Spin: From Rotation Group to Noncommutative Zitterbewegung

    • A. O. Barut
    Pages 75-83

  9. Massless Representations of the Poincaré Group and Conformal Invariance

    • Adam M. Bincer
    Pages 85-87

  10. q-Deformed Oscillators in Nuclear and Molecular Physics

    • Dennis Bonatsos, C. Daskaloyannis
    Pages 89-97

  11. Induced Representations and the Frobenius Theorem for Finite Quantum Groups

    • Kazimierz Brągiel
    Pages 99-113

  12. Non-Abelian Surprises for Gauge Fields Coupled to Gravity

    • Othmar Brodbeck, Norbert Straumann
    Pages 115-128

  13. Colored Supersymmetry of Mesons and Baryons Based on Octonionic Algebras

    • Sultan Catto
    Pages 129-147

  14. Quantum Algebras and Lie Groups

    • Enrico Celeghini
    Pages 149-156

  15. q-Fock Space Representations of the q-Lorentz Algebra and Irreducible Tensors

    • M. Chaichian, J. A. De Azcárraga, F. Rodenas
    Pages 157-170

  16. Construction of Quantum Groups and the Yang-Baxter Equation with Spectral Parameter

    • P. Cotta-Ramusino, L. Lambe, M. Rinaldi
    Pages 171-186

  17. Supersymmetry and the Nonlocal Yangian Deformation Symmetry

    • Thomas Curtright, Cosmas Zachos
    Pages 187-194

  18. Quantum Algebras: Representations and Real Forms

    • V. K. Dobrev
    Pages 195-215

  19. Lagrangians from Equations: A Skyrmion Case Study

    • David Fairlie, Jean Nuyts
    Pages 217-224

  20. Probability, Representations, and Coordinates on Lie Groups

    • Philip Feinsilver
    Pages 225-234
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Keywords

About this book

The Symposium ·Symmetries in Science VI: From the Rotation Group to Quantum Algebras· was held at the Cloister Mehrerau, Bregenz, Austria, during the period August 2-7, 1992. The Symposium was held in honor of Professor Lawrence C. Biedenharn on the occasion of his 70th birthday. During the academic year 1966/67 I worked as research associate with Larry at Duke University and we have ever since maintained close contact. It was thus natural for me to take the initiative and to organize this Symposium in honor of Larry as a great scientist and friend. The response which the Symposium received showed the favorable reaction by the scientific community to the opportunity provided by the Symposium to honor our colleague, teacher and friend. Equally, the scientific contributions contained in this volume illustrate the high esteem in which he is held. I wish to thank all the scientists who participated in the Symposium and who contributed to this volume. It is due to their commitment that the Symposium was successful. Finally I need to thank those who provided financial and logistical assistance to the Symposium: Dr. John H. Guyon, President of Southern Illinois University at Carbondale, Dr. Russell R. Dutcher, Dean, College of Science at SIUC, Dr. Maurice A. Wright, Chairman, Department of Physics, SIUC, Dr. Victoria J. Molfese, Office of Research Developement and Administration, SIUC, as well as Dr. Martin Purtscher, Landeshauptmann, Land Vorarlberg Dr. Guntram Lins, Landesrat, Land Vorarlberg.

Editors and Affiliations

  • Southern Illinois University at Carbondale in Niigata, Niigata, Japan

    Bruno Gruber

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