Semisimple Lie algebras and Hamiltonian theory of finite-dimensional Lax equations with spectral parameter on a Riemann surface

DOI10.1134/S0081543815060164zbMath1395.17073OpenAlexW2270151200MaRDI QIDQ902063

Oleg K. Sheinman

Publication date: 7 January 2016

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543815060164

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Infinite-dimensional Lie (super)algebras (17B65) Graded Lie (super)algebras (17B70) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20) Applications of Lie algebras and superalgebras to integrable systems (17B80)

Related Items

Matrix divisors on Riemann surfaces and Lax operator algebras ⋮ Polynomial dynamical systems and the Korteweg-de Vries equation ⋮ Certain reductions of Hitchin systems of rank 2 and genera 2 and 3 ⋮ Hirzebruch functional equation: classification of solutions

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