Highest weight representations of Krichever-Novikov algebras and integrable systems

DOI10.1070/RM2005v060n02ABEH000842zbMath1082.17012OpenAlexW2075220132MaRDI QIDQ5896788

Oleg K. Sheinman

Publication date: 21 February 2006

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/rm2005v060n02abeh000842

zbMATH Keywords

HamiltonianLie algebracoadjoint orbithighest-weight module

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Applications of Lie algebras and superalgebras to integrable systems (17B80) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30)

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