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

DOI10.3842/SIGMA.2019.023zbMath1447.17020arXiv1605.00192MaRDI QIDQ2633042

Darlayne Addabbo, Maarten Bergvelt

Publication date: 8 May 2019

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.00192

zbMATH Keywords

integrable systems\(\tau\)-functions\(Q\)- and \(T\)-systemsBirkhoff factorizations

Mathematics Subject Classification ID

Applications of Lie algebras and superalgebras to integrable systems (17B80) Difference equations (39A99)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the relation between the full Kostant-Toda lattice and multiple orthogonal polynomials
• \(Q\)-systems, heaps, paths and cluster positivity
• Loop groups and equations of KdV type
• On the Bäcklund transformation for the Gel'fand-Dickey equations
• Bosonic and fermionic realizations of the affine algebra \(\widehat {gl_ n}\)
• Representations of Yangians and multiplicities of occurrence of the irreducible components of the tensor product of representations of simple Lie algebras
• Formulas for multiplicities of occurrence of irreducible components in the tensor product of representations of simple Lie algebras
• Partitions, vertex operator constructions and multi-component KP equations
• Free fermions and tau-functions
• Positivity of the \(T\)-system cluster algebra
• Orthogonal polynomials and the finite Toda lattice
• Bombay Lectures on Highest Weight Representations of Infinite Dimensional Lie Algebras
• T-systems andY-systems in integrable systems
• The Kirillov-Reshetikhin conjecture and solutions of T-systems
• τ functions and zero curvature equations of Toda–AKNS type
• Generalizations of 𝑄-systems and orthogonal polynomials from representation theory
• Difference Hierarchies for nT τ-functions
• Infinite flag varieties and conjugacy theorems
• On axiomatic approaches to vertex operator algebras and modules

This page was built for publication: \(\tau\)-functions, Birkhoff factorizations and difference equations