Difference Hierarchies for nT τ-functions

DOI10.1142/S0129167X18500908zbMath1447.17019arXiv1611.10340MaRDI QIDQ4644393

Maarten Bergvelt, Darlayne Addabbo

Publication date: 7 January 2019

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

Full work available at URL: https://arxiv.org/abs/1611.10340

zbMATH Keywords

discrete integrable systemstau-functions\(Q\)- and \(T\)-systemsGauss factorizations

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Applications of Lie algebras and superalgebras to integrable systems (17B80) Stability theory for difference equations (39A30)

Related Items (1)

\(\tau\)-functions, Birkhoff factorizations and difference equations

Cites Work

• \(Q\)-systems as cluster algebras. II: Cartan matrix of finite type and the polynomial property
• Basic representations of affine Lie algebras and dual resonance models
• Bosonic and fermionic realizations of the affine algebra \(\widehat {gl_ n}\)
• Generalized Drinfel'd-Sokolov hierarchies
• Macdonald's polynomials and representations of quantum groups
• A unified representation-theoretic approach to special functions
• Partitions, vertex operator constructions and multi-component KP equations
• T-systems andY-systems in integrable systems
• Q-systems as cluster algebras
• Generalizations of 𝑄-systems and orthogonal polynomials from representation theory
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