\(q\)-universal characters and an extension of the lattice \(q\)-universal characters

DOI10.1134/S0040577921070047zbMath1471.81116OpenAlexW3211261968MaRDI QIDQ2047681

Yanyan Li

Publication date: 23 August 2021

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0040577921070047

zbMATH Keywords

\(q\)-deformationboson-fermion correspondenceuniversal character\(q\)-deformed universal character hierarchylattice \(q\)-deformed universal character hierarchy

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Difference equations, scaling ((q)-differences) (39A13) Formal methods and deformations in algebraic geometry (14D15) Schur and (q)-Schur algebras (20G43) Particle exchange symmetries in quantum theory (general) (81V72)

Related Items (3)

Multiparameter universal characters of B-type and integrable hierarchy ⋮ Multi-component universal character hierarchy and its polynomial tau-functions ⋮ Coupled KP and BKP hierarchies and the corresponding symmetric functions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On an integrable system of \(q\)-difference equations satisfied by the universal characters: its Lax formalism and an application to \(q\)-Painlevé equations
• Solitons and infinite dimensional Lie algebras
• Universal character and \(q\)-difference Painlevé equations
• Generalized \(Q\)-functions and \(UC\) hierarchy of \(B\)-type
• Universal characters and an extension of the KP hierarchy
• Transformation groups of soliton equations. IV: A new hierarchy of soliton equations of KP-type
• Tau function solutions to a \(q\)-deformation of the KP hierarchy
• On the decomposition of tensor products of the representations of the classical groups: By means of the universal characters
• Finite-dimensional tau functions of the universal character hierarchy
• Strongly coupled B-type universal characters and hierarchies
• \(q\)-deformed KP hierarchy and \(q\)-deformed constrained KP hierarchy
• Universal characters, integrable chains and the Painlevé equations
• FROM KP/UC HIERARCHIES TO PAINLEVÉ EQUATIONS
• The bispectral property of aq-deformation of the Schur polynomials and theq-KdV hierarchy
• Quantum Gaudin model, spin chains, and universal characters
• Quantum deformation of KdV hierarchies and their infinitely many conservation laws

This page was built for publication: \(q\)-universal characters and an extension of the lattice \(q\)-universal characters