\(W_m\)-algebras and fractional powers of difference operators

DOI10.1088/1361-6544/AD5FD8zbMATH Open1547.37075MaRDI QIDQ6583637

G. Marí Beffa

Publication date: 6 August 2024

Published in: Nonlinearity (Search for Journal in Brave)

zbMATH Keywords

integrable systemsdifference operatorsfractional powers of operatorscompletely integrable systemsdiscrete integrable systemsdiscrete Poisson bracketsbihamiltonian structures

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Difference operators (39A70) 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) Poisson algebras (17B63) Lattice dynamics; integrable lattice equations (37K60) Relations of finite-dimensional Hamiltonian and Lagrangian systems with Lie algebras and other algebraic structures (37J37) Completely integrable discrete dynamical systems (37J70)

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