TOROIDAL LIE ALGEBRAS AND SOME DIFFERENTIAL EQUATIONS OF TODA TYPE

DOI10.1142/S0219498810004373zbMath1206.17021WikidataQ115245700 ScholiaQ115245700MaRDI QIDQ3069776

Youjun Tan

Publication date: 19 January 2011

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

zbMATH Keywords

toroidal Lie algebrasHamiltonian structuresToda systems

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Applications of Lie algebras and superalgebras to integrable systems (17B80)

Cites Work

• Schur duality in the toroidal setting
• Algebraic aspects of nonlinear differential equations
• Conservation laws and symmetries of generalized sine-Gordon equations
• Hamiltonian operators and infinite-dimensional Lie algebras
• Two-dimensional generalized Toda lattice
• Lie algebras graded by finite root systems and the intersection matrix algebras of Slodowy
• Kac-Moody groups and integrability of soliton equations
• Langlands reciprocity for algebraic surfaces
• Korteweg-de Vries Equation and Generalizations. IV. The Korteweg-de Vries Equation as a Hamiltonian System
• Borel subalgebras and categories of highest weight modules for toroidal Lie algebras
• Unnamed Item