Two-component symplectic universal characters and integrable hierarchies

DOI10.1142/S0129167X21500452zbMath1477.37075OpenAlexW3161241009MaRDI QIDQ5006361

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Publication date: 13 August 2021

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0129167x21500452

zbMATH Keywords

Clifford algebrasymplectic Schur functionsymplectic universal charactertwo-component symplectic KP hierarchy

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30) Applications of Clifford algebras to physics, etc. (15A67)

Related Items

Plethystic B-type KP and universal character hierarchies ⋮ On modified \(B\)KP systems and generalizations ⋮ Multi-component universal character hierarchy and its polynomial tau-functions ⋮ Polynomial tau functions of symplectic KP and multi-component symplectic KP hierarchies ⋮ On a symplectic bigraded Toda hierarchy ⋮ Coupled KP and BKP hierarchies and the corresponding symmetric functions

Cites Work

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• FROM KP/UC HIERARCHIES TO PAINLEVÉ EQUATIONS
• Operator Approach to the Kadomtsev-Petviashvili Equation–Transformation Groups for Soliton Equations III–
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• Generalized symplectic Schur functions and SUC hierarchy
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