Gauss decomposition of connection matrices and application to Yang-Baxter equation. I

DOI10.3792/pjaa.69.238zbMath0797.33011OpenAlexW2072194396MaRDI QIDQ1318922

Yoshifumi Kato, Kazuhiko Aomoto

Publication date: 10 October 1994

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.69.238

zbMATH Keywords

Yang-Baxter equationJacobi theta functionsconnection matrixJackson integrals

Mathematics Subject Classification ID

Related Items

Gauss decomposition of connection matrices for symmetric \(A\)-type Jackson integrals, Gauss decomposition for quantum groups and supergroups, A bilateral extension of the $q$-Selberg integral, \(q\)-difference systems for the Jackson integral of symmetric Selberg type, On elliptic product formulas for Jackson integrals associated with reduced root systems, Gauss decomposition of connection matrices and application to Yang-Baxter equation. II

Cites Work

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• Jackson-type integrals, Bethe vectors, and solutions to a difference analog of the Knizhnik-Zamolodchikov system
• Jackson integrals of Jordan-Pochhammer type and quantum Knizhnik-Zamolodchikov equations
• Quantum algebra structure of certain Jackson integrals
• Quantized Knizhnik-Zamolodchikov equations, quantum Yang-Baxter equation, and difference equations for \(q\)-hypergeometric functions
• Connection formula of symmetric \(A\)-type Jackson integrals
• Determinants of \(q\)-hypergeometric functions and another proof of the Askey conjecture
• On a theta product formula for the symmetric \(A\)-type connection function
• Multidimensional q-Beta Integrals
• Connection problem in holonomicq-difference system associated with a Jackson integral of Jordan-Pochhammer type
• On Connection Coefficients forq-Difference Systems ofA-Type Jackson Integrals