Resonance Relations, Holomorphic Trace Functions and Hypergeometric Solutions to qKZB and Macdonald-Ruijsenaars Equations

DOI10.1093/imrp/rpm008zbMath1149.17010arXivmath/0612330OpenAlexW2963053386MaRDI QIDQ5443658

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Publication date: 22 February 2008

Published in: International Mathematics Research Papers (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0612330

zbMATH Keywords

quantum groupshypergeometric functionholomorphic trace functionresonance realtion

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Groups and algebras in quantum theory and relations with integrable systems (81R12) Moduli and deformations for ordinary differential equations (e.g., Knizhnik-Zamolodchikov equation) (32G34) Connections of basic hypergeometric functions with quantum groups, Chevalley groups, (p)-adic groups, Hecke algebras, and related topics (33D80)

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