Quantum Groups Proceedings of the 8th International Workshop on Mathematical Physics, Held at the Arnold Sommerfeld Institute, Clausthal, FRG, on 19–26 July 1989

Quantum Groups Proceedings of the 8th International Workshop on Mathematical Physics, Held at the Arnold Sommerfeld Institute, Clausthal, FRG, on 19–26 July 1989 / edited by Heinz-Dietrich Doebner, Jörg-D. Hennig.

A thorough analysis of exactly soluble models in nonlinear classical systems and in quantum systems as well as recent studies in conformal quantum field theory have revealed the structure of quantum groups to be an interesting and rich framework for mathematical and physical problems. In this book,...

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Bibliographic Details
Corporate Author: SpringerLink (Online service)
Other Authors: Doebner, Heinz-Dietrich (Editor), Hennig, Jörg-D (Editor)
Format: eBook
Language:English
Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1990.
Edition:1st ed. 1990.
Series:Lecture Notes in Physics, 370
Springer eBook Collection.
Subjects:
Quantum physics.
Quantum computers.
Spintronics.
Electronic resources (E-books)
Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.
Table of Contents:
  • to quantum groups
  • Mathematical guide to quantum groups
  • A q-boson realization of the quantum group SU q (2) and the theory of q-tensor operators
  • Polynomial basis for SU(2)q and Clebsch-Gordan coefficients
  • U q (sl(2)) Invariant operators and reduced polynomial identities
  • Classification and characters of Uq(sl(3, C ))representations
  • Extremal projectors for quantized kac-moody superalgebras and some of their applications
  • Yang-Baxter algebras, integrable theories and Betre Ansatz
  • Yang-Baxter algebra — Bethe Ansatz — conformal quantum field theories — quantum groups
  • Classical Yang-Baxter equations and quantum integrable systems (Gaudin models)
  • Quantum groups as symmetries of chiral conformal algebras
  • Comments on rational conformal field theory, quantum groups and tower of algebras
  • Chern-Simons field theory and quantum groups
  • Quantum symmetry associated with braid group statistics
  • Sum rules for spins in (2 + 1)-dimensional quantum field theory
  • Anomalies from the phenomenological and geometrical points of view
  • KMS states, cyclic cohomology and supersymmetry
  • Gauge theories based on a non-commutative geometry
  • Algebras symmetries spaces.

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