Drinfeld-Sokolov reduction on a simple Lie algebra from the bihamiltonian point of view

DOI10.1007/BF00398305zbMath0767.58019WikidataQ115395077 ScholiaQ115395077MaRDI QIDQ1196087

Paolo Casati, Marco Pedroni

Publication date: 29 November 1992

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

Poisson manifoldssoliton equationsbihamiltonian systemsDrinfeld-Sobolev reduction

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)

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Cites Work

• Unnamed Item
• Lie algebras and equations of Korteweg-de Vries type
• Reduction of Poisson manifolds
• The Principal Three-Dimensional Subgroup and the Betti Numbers of a Complex Simple Lie Group
• Lie Group Representations on Polynomial Rings

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