Infinite Dimensional Algebras and Quantum Integrable Systems (Progress in Mathematics (237))

This volume presents the invited lectures of the workshop "Infinite Dimensional Algebras and Quantum Integrable Systems'' held in July 2003 at the University of Algarve, Faro, Portugal, as a satellite workshop of the XIV. International Congress on Mathematical Physics. Recent developments in the theory of infinite dimensional algebras and their applications to quantum integrable systems are reviewed by some of the leading experts in the field. The volume will be of interest to a broad audience from graduate students to researchers in mathematical physics and related fields. Contributors: E. Frenkel O.A. Castro-Alvaredo and A. Fring V.G. Kac and M. Wakimoto A. Gerasimov, S. Kharchev and D. Lebedev H.E. Boos, V.E. Korepin and F.A. Smirnov Kanehisa Takasaki Takashi Takebe L.A. Takhtajan and Lee-Peng Teo V. Tarasov This volume presents the invited lectures of the workshop "Infinite Dimensional Algebras and Quantum Integrable Systems'' held in July 2003 at the University of Algarve, Faro, Portugal, as a satellite workshop of the XIV. International Congress on Mathematical Physics. Recent developments in the theory of infinite dimensional algebras and their applications to quantum integrable systems are reviewed by some of the leading experts in the field. The volume will be of interest to a broad audience from graduate students to researchers in mathematical physics and related fields. Contributors:E. FrenkelO. A. Castro-Alvaredo and A. FringV. G. Kac and M. WakimotoA. Gerasimov, S. Kharchev and D. LebedevH. E. Boos, V.E. Korepin and F.A. SmirnovKanehisa TakasakiTakashi TakebeL. A. Takhtajan and Lee-Peng TeoV. Tarasov Gaudin Model and Opers....Pages 1-58 Integrable Models with Unstable Particles....Pages 59-87 Quantum Reduction in the Twisted Case....Pages 89-131 Representation Theory and Quantum Integrability....Pages 133-156 Connecting Lattice and Relativistic Models via Conformal Field Theory....Pages 157-173 Elliptic Spectral Parameter and Infinite-Dimensional Grassmann Variety....Pages 175-203 Trigonometric Degeneration and Orbifold Wess-Zumino-Witten Model. II....Pages 205-224 Weil-Petersson Geometry of the Universal Teichmüller Space....Pages 225-233 Duality for Knizhinik-Zamolodchikov and Dynamical Equations, and Hypergeometric Integrals....Pages 235-263 "This volume presents the invited lectures of the workshop "Infinite Dimensional Algebras and Quantum Integrable Systems" held in July 2003 at the University of Algarve, Faro, Portugal, as a satellite workshop of the XIV, International Congress on Mathematical Physics. Recent developments in the theory of infinite dimensional algebras and their applications to quantum integrable systems are reviewed by some of the leading experts in the field. The volume will be of interest to a broad audience from graduate students to researchers in mathematical physics and related fields."--Jacket This volume presents the invited lectures of the workshop "Infinite Dimensional Algebras and Quantum Integrable Systems" held in July 2003 at the University of Algarve, Faro, Portugal, as a satellite workshop of the XIV International Congress on Mathematical Physics. In it, recent developments in the theory of infinite dimensional algebras, and their applications to quantum integrable systems, are reviewed by leading experts in the field.