MONODROMY OF SOLUTIONS OF THE ELLIPTIC QUANTUM KNIZHNIK–ZAMOLODCHIKOV–BERNARD DIFFERENCE EQUATIONS

DOI10.1142/S0129167X99000410zbMath1038.32500arXivq-alg/9705017WikidataQ56593984 ScholiaQ56593984MaRDI QIDQ2728483

Alexander Varchenko, Vitaly O. Tarasov, Giovanni Felder

Publication date: 1 August 2001

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/q-alg/9705017

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Difference operators (39A70) Moduli and deformations for ordinary differential equations (e.g., Knizhnik-Zamolodchikov equation) (32G34)

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Cites Work

• On representations of the elliptic quantum group \(E_ \tau,\eta(sl_ 2)\)
• Monodromy representations of braid groups and Yang-Baxter equations
• Quantum affine algebras and holonomic difference equations
• Jackson-type integrals, Bethe vectors, and solutions to a difference analog of the Knizhnik-Zamolodchikov system
• Quantized Knizhnik-Zamolodchikov equations, quantum Yang-Baxter equation, and difference equations for \(q\)-hypergeometric functions
• Algebraic Bethe ansatz for the elliptic quantum group \(E_{\tau,\eta} (sl_2\))