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Quantum Groups, Integrable Modelsand Statistical Systems cover

This volume contains the lectures presented at the workshop on “Quantum Groups, Integrable Models and Statistical Systems”. The papers give either a full exposition of original results or a review of fundamental aspects of this most active research area.

Sample Chapter(s)
Quantum Chains and Fusion Rules for Representations of SL(2)q at Roots of Unity (365 KB)


Contents:
  • Quantum Chains and Fusion Rules for Representations of SL(2)q at Roots of Unity (D Arnaudon)
  • Lattice Physics and Inhomogeneous Quantum Algebras (E Celeghini)
  • Simple Approach to Thermal Bethe Ansatz (H J de Vega)
  • Universal Field Equations and Euler Hierarchies (D B Fairlie)
  • Generalized Drinfeld-Sokolov Hierarchies and W-Algebras (L Fehér)
  • Moment Maps to Loop Algebras, Classical R-Matrix and Integrable Systems (J Harnad & M A Wisse)
  • Quantum Affine Symmetry at Roots of 1 as Generalized Supersymmetry (A LeClair)
  • Introduction to the Thermodynamics of Spin Chains (L Mezincescu & R I Nepomechie)
  • Path-Integral WZNW-Toda Reductions (L O'Raifeartaigh)
  • The Symmetries of Integrability: from Yang-Baxter Equations to Discrete-Time Dynamical Systems (C-M Viallet)
  • and other papers

Readership: Theoretical physicists and applied mathematicians.