The bispectral property of aq-deformation of the Schur polynomials and theq-KdV hierarchy

DOI10.1088/0305-4470/30/20/021zbMath0928.35148OpenAlexW2051243312MaRDI QIDQ4245822

Plamen Iliev, Luc Haine

Publication date: 12 January 2000

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

Full work available at URL: https://doi.org/10.1088/0305-4470/30/20/021

zbMATH Keywords

KdV hierarchy\(q\)-deformationSchur polynomialsbispectral commutative rings of \(q\)-difference operators

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) KdV equations (Korteweg-de Vries equations) (35Q53) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Connections of basic hypergeometric functions with quantum groups, Chevalley groups, (p)-adic groups, Hecke algebras, and related topics (33D80)

Related Items (14)

Askey-Wilson type functions with bound states ⋮ On ordinary, linear \(q\)-difference equations, with applications to \(q\)-Sato theory ⋮ Lax Matrices for Yang-Baxter Maps ⋮ String equations of the \( q \)-KP hierarchy ⋮ Discrete AKNS-D Hierarchy ⋮ Virasoro symmetries of multicomponent Gelfand-Dickey systems ⋮ The solution to the \(q\)-KdV equation ⋮ Two kinds of Darboux-Bäcklund transformations for the \(q\)-deformed KdV hierarchy with self-consistent sources ⋮ A new extended q-deformed KP hierarchy ⋮ \(q\)-universal characters and an extension of the lattice \(q\)-universal characters ⋮ Hirota Formulas and Q-Hierarchies ⋮ On the \(q\)-deformed modified Korteweg-de Vries hierarchy ⋮ \(q\)-KP hierarchy, bispectrality and Calogero-Moser systems ⋮ \(q\)-analogue of modified KP hierarchy and its quasi-classical limit

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