779 citations
- Centre National de la Recherche ScientifiqueFR575 papers
- Institut de Mathématiques de BourgogneFR417 papers
- Laboratoire Interdisciplinaire Carnot de BourgogneFR265 papers
- Université Bourgogne Franche-ComtéFR132 papers
- Laboratoire d’Électronique, Informatique et ImageFR41 papers
- Université Paris-SudFR40 papers
- Institute for Physical ResearchAM32 papers
- Laboratoire de Mathématiques Blaise PascalFR29 papers
- Sorbonne UniversitéFR28 papers
- Franche-Comté Électronique Mécanique Thermique et Optique - Sciences et TechnologiesFR27 papers
- Technical University of MunichDE27 papers
- Commissariat à l'Énergie Atomique et aux Énergies AlternativesFR26 papers
Showing 1997Show all
3 papers · 1 filter
q-alg1997★ 68 cited
Drinfeld-Sokolov reduction for difference operators and deformations of W-algebras I. The case of Virasoro algebra
E. Frenkel, N. Reshetikhin, M. A. Semenov-Tian-Shansky
We propose a q-difference version of the Drinfeld-Sokolov reduction scheme, which gives us q-deformations of the classical W-algebras by reduction from Poisson-Lie loop groups. We…
q-alg1997★ 25 cited
Quantum and Classical Integrable Systems
M. A. Semenov-Tian-Shansky
The key concept discussed in these lectures is the relation between the Hamiltonians of a quantum integrable system and the Casimir elements in the underlying hidden symmetry algeb…
q-alg1997★ 48 cited
Drinfeld-Sokolov reduction for difference operators and deformations of W-algebras. II. General Semisimple Case
M. A. Semenov-Tian-Shansky, A. V. Sevostyanov
The paper is the sequel to q-alg/9704011. We extend the Drinfeld-Sokolov reduction procedure to q-difference operators associated with arbitrary semisimple Lie algebras. This leads…