Lax operator algebras and integrable systems

DOI10.1070/RM9703zbMath1395.17047arXiv1602.04320OpenAlexW2278051153MaRDI QIDQ2815674

Oleg K. Sheinman

Publication date: 30 June 2016

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

Full work available at URL: https://arxiv.org/abs/1602.04320

zbMATH Keywords

integrable systemsprequantizationHamiltonian theorygradings of semisimple Lie algebrasLax operator algebrasspectral parameter on a Riemann surfaceTyurin parameters

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Families, moduli of curves (algebraic) (14H10) Infinite-dimensional Lie (super)algebras (17B65) 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) Riemann surfaces; Weierstrass points; gap sequences (14H55) Families, moduli of curves (analytic) (14H15)

Related Items (8)

Matrix divisors on Riemann surfaces and Lax operator algebras ⋮ Spectral curves of the hyperelliptic Hitchin systems ⋮ Hitchin systems on hyperelliptic curves ⋮ Polynomial dynamical systems and the Korteweg-de Vries equation ⋮ Quantization of integrable systems with spectral parameter on a Riemann surface ⋮ Certain reductions of Hitchin systems of rank 2 and genera 2 and 3 ⋮ Hirzebruch functional equation: classification of solutions ⋮ Quantization of Lax integrable systems and conformal field theory

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