Quantum algebra structure of certain Jackson integrals
type: Item
instance of: scholarly article
title: Quantum algebra structure of certain Jackson integrals
zbMATH Open document ID: 0795.17023
DOI: 10.1007/BF02096880
author: Atsushi Matsuo
published in: Communications in Mathematical Physics
publication date: 1994-09-25T00:00:00Z
Mathematics Subject Classification ID: 17B37
Mathematics Subject Classification ID: 33D80
Mathematics Subject Classification ID: 17B69
zbMATH DE Number: 487189
zbMATH Keywords: \(q\)-difference system
zbMATH Keywords: \(q\)-vertex operators
zbMATH Keywords: Jackson integrals
zbMATH Keywords: root system
zbMATH Keywords: quantum Knizhnik-Zamolodchikov equation
zbMATH Keywords: correlation function
MaRDI profile type: Publication
cites work: Eight-vertex SOS model and generalized Rogers-Ramanujan-type identities
cites work: Gauss-Manin connection of integral of difference products
cites work: Finiteness of a cohomology associated with certain Jackson integrals
cites work: Q3993838
cites work: Integral solutions of trigonometric Knizhnik-Zamolodchikov equations and Kac-Moody algebras
cites work: HYPERGEOMETRIC-TYPE INTEGRALS AND THE $\mathfrak{sl}(2, {\rm C})$ KNIZHNIK-ZAMOLODCHIKOV EQUATION
cites work: Quantum affine algebras and holonomic difference equations
cites work: A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
cites work: Solvable lattice models related to the vector representation of classical simple Lie algebras
cites work: Current algebras and Wess-Zumino model in two dimensions
cites work: Fock space representations of affine Lie algebras and integral representations in the Wess-Zumino-Witten models
cites work: An application of Aomoto-Gelfand hypergeometric functions to the SU(n) Knizhnik-Zamolodchikov equation
cites work: Jackson integrals of Jordan-Pochhammer type and quantum Knizhnik-Zamolodchikov equations
cites work: Connection problem in holonomicq-difference system associated with a Jackson integral of Jordan-Pochhammer type
cites work: Jackson-type integrals, Bethe vectors, and solutions to a difference analog of the Knizhnik-Zamolodchikov system
cites work: Arrangements of hyperplanes and Lie algebra homology
cites work: KILLING FORMS, HARISH-CHANDRA ISOMORPHISMS, AND UNIVERSAL R-MATRICES FOR QUANTUM ALGEBRAS
full work available at URL: https://doi.org/10.1007/bf02096880
OpenAlex ID: W1999487935
description: scientific article; zbMATH DE number 487189