Multi-component universal character hierarchy and its polynomial tau-functions

DOI10.1016/j.physd.2022.133166zbMath1483.14060OpenAlexW4210738138MaRDI QIDQ2670238

Yanyan Li

Publication date: 10 March 2022

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physd.2022.133166

zbMATH Keywords

universal character hierarchymulti-component UC hierarchypolynomial tau-function

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Relationships between algebraic curves and physics (14H81)

Related Items (9)

Multiparameter universal characters of B-type and integrable hierarchy ⋮ 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 ⋮ Polynomial tau-functions of the orthogonal KP, multicomponent orthogonal KP and BUC hierarchies ⋮ Coupled KP and BKP hierarchies and the corresponding symmetric functions ⋮ Virasoro symmetries of the constrained dispersionless mKP hierarchy ⋮ Solutions of the universal character hierarchy and BUC hierarchy by fermionic approach ⋮ Linear transformations of vertex operators presentations of coupled Hall-Littlewood functions

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