Generalized symplectic Schur functions and SUC hierarchy

DOI10.1063/1.5120855zbMath1456.37074OpenAlexW3034999073MaRDI QIDQ5136137

Fang Huang, Na Wang

Publication date: 25 November 2020

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.5120855

zbMATH Keywords

vertex operatorsymplectic Schur functionssymplectic KP hierarchysymplectic universal character hierarchy

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Vertex operators; vertex operator algebras and related structures (17B69) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30)

Related Items (12)

Multiparameter universal characters of B-type and integrable hierarchy ⋮ Quantum field presentation for generalized Hall–Littlewood functions ⋮ Polynomial tau functions of symplectic KP and multi-component symplectic KP hierarchies ⋮ Symmetric universal character, integrable hierarchy, and affine Yangian of \(\mathfrak{gl}(1)\) ⋮ On a symplectic bigraded Toda hierarchy ⋮ Prolongation structure of supersymmetric nonlinear equation and its Bäcklund transformation ⋮ Littlewood-Richardson rule for generalized Schur Q-functions ⋮ Polynomial tau-functions of the orthogonal KP, multicomponent orthogonal KP and BUC hierarchies ⋮ Solutions of the universal character hierarchy and BUC hierarchy by fermionic approach ⋮ Two types of universal characters and the integrable hierarchies ⋮ Linear transformations of vertex operators presentations of coupled Hall-Littlewood functions ⋮ Two-component symplectic universal characters and integrable hierarchies

Cites Work

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• Solitons and infinite dimensional Lie algebras
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• Universal characters and an extension of the KP hierarchy
• Two constructions of affine Lie algebra representations and boson-fermion correspondence in quantum field theory
• On the decomposition of tensor products of the representations of the classical groups: By means of the universal characters
• Vertex operator realization of symplectic and orthogonalS-functions

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