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Publication:3993838
DOI10.1155/S1073792892000023zbMath0765.39002MaRDI QIDQ3993838
Katsuhisa Mimachi, Yoshifumi Kato, Kazuhiko Aomoto
Publication date: 13 August 1992
Published in: International Mathematics Research Notices (Search for Journal in Brave)
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yang-Baxter equationquantum affine algebrasconnection matricesKnizhnik-Zamolodchikov equationelliptic solutioncocycle conditionholonomic \(q\)-difference systemJackson integral of Jordan-Pochhammer type
Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Difference operators (39A70)
Related Items (12)
Quantized Knizhnik-Zamolodchikov equations, quantum Yang-Baxter equation, and difference equations for \(q\)-hypergeometric functions ⋮ Connection formula of symmetric \(A\)-type Jackson integrals ⋮ Gauss decomposition of connection matrices for symmetric \(A\)-type Jackson integrals ⋮ Jackson-type integrals, Bethe vectors, and solutions to a difference analog of the Knizhnik-Zamolodchikov system ⋮ Quantum Knizhnik-Zamolodchikov equations and affine root systems ⋮ Jackson integrals of Jordan-Pochhammer type and quantum Knizhnik-Zamolodchikov equations ⋮ Eigenfunctions of MacDonald's \(q\)-difference operator for the root system of type \(C_n\) ⋮ Connection problem for an extension of \(q\)-hypergeometric systems ⋮ Quantum algebra structure of certain Jackson integrals ⋮ Gauss decomposition of connection matrices and application to Yang-Baxter equation. I ⋮ Holonomic \(q\)-difference system associated with the basic hypergeometric series \(_{n+1}\varphi_ n\) ⋮ Holonomic \(q\)-difference system of the first order associated with a Jackson integral of Selberg type
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