Isomonodromic and bispectral properties of the generalized Knizhnik-Zamolodchikov equations

DOI10.1007/s10958-005-0302-0zbMath1097.32006OpenAlexW1976569710MaRDI QIDQ812301

V. P. Leksin

Publication date: 23 January 2006

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-005-0302-0

zbMATH Keywords

isomonodromic deformationbispectral problemKnizhnik-Zamolodchikov equationsFrobenius conditionmeromorphic system

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms (34M35) Moduli and deformations for ordinary differential equations (e.g., Knizhnik-Zamolodchikov equation) (32G34)

Cites Work

• q-Weyl group and a multiplicative formula for universal R-matrices
• Density matrix of an impenetrable Bose gas and the fifth Painlevé transcendent
• Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. I: General theory and \(\tau \)-function
• The Knizhnik-Zamolodchikov system as a deformation of the isomonodromy problem
• Some monodromy representations of generalized braid groups
• Differential equations compatible with KZ equations
• Stokes matrices, Poisson Lie groups and Frobenius manifolds.
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Isomonodromic and bispectral properties of the generalized Knizhnik-Zamolodchikov equations