Identities between \(q\)-hypergeometric and hypergeometric integrals of different dimensions

DOI10.1016/j.aim.2004.01.007zbMath1113.33015arXivmath/0309372OpenAlexW2106332080MaRDI QIDQ705985

Vitaly O. Tarasov, Alexander Varchenko

Publication date: 16 February 2005

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0309372

zbMATH Keywords

\(({\mathfrak{gf}}_k,{\mathfrak{gf}}_n)\) duality\(q\)-hypergeometric integral

Mathematics Subject Classification ID

Hypergeometric integrals and functions defined by them ((E), (G), (H) and (I) functions) (33C60)

Related Items

Correlation functions of the half-infinite XXZ spin chain with a triangular boundary, Dynamical differential equations compatible with rational qKZ equations, Identities for hypergeometric integrals of different dimensions

Cites Work

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• Quantum affine algebras and holonomic difference equations
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• Elliptic Selberg integrals and conformal blocks
• Selberg-type integrals associated with \(\mathfrak{sl}_3\)
• Hypergeometric solutions of trigonometric KZ equations satisfy dynamical difference equations
• Dynamical differential equations compatible with rational qKZ equations
• A Kohno-Drinfeld theorem for quantum Weyl groups
• Duality for Knizhnik-Zamolodchikov and dynamical equations
• The Determinant of a Hypergeometric Period Matrix