Poisson Geometry of Difference Lax Operators and Difference Galois Theory

DOI10.1007/978-3-0348-0816-3_21zbMath1322.37035OpenAlexW1516156562MaRDI QIDQ5262407

Michaael A. Semenov-Tian-Shansky

Publication date: 14 July 2015

Published in: Operator Theory, Operator Algebras and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-0348-0816-3_21

zbMATH Keywords

difference equationsVirasoro algebraPoisson geometryPoisson Lie groupsdifference Galois theory

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) Hamiltonian systems on groups of diffeomorphisms and on manifolds of mappings and metrics (37K65) Differential algebra (12H05)

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