Ruijsenaars' hypergeometric function and the modular double of \(\mathcal {U}_{q}(\mathfrak {sl}_{2}(\mathbb C))\)

DOI10.1016/j.aim.2005.05.023zbMath1118.33007arXivmath/0501405OpenAlexW2080134814MaRDI QIDQ2498834

Fokko J. van de Bult

Publication date: 16 August 2006

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

Full work available at URL: https://arxiv.org/abs/math/0501405

zbMATH Keywords

quantum groupsmodular doublehyperbolic gamma functions

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) Connections of basic hypergeometric functions with quantum groups, Chevalley groups, (p)-adic groups, Hecke algebras, and related topics (33D80)

Related Items

Properties of generalized univariate hypergeometric functions ⋮ Finite-dimensional representations of the elliptic modular double ⋮ Kernel functions and Bäcklund transformations for relativistic Calogero-Moser and Toda systems

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