Traces of intertwiners for quantum groups and difference equations

DOI10.1023/A:1021619920915zbMath1018.17013arXivmath/0207157OpenAlexW2782844457MaRDI QIDQ1868419

Olivier Schiffmann, Pavel I. Etingof, Alexander Varchenko

Publication date: 27 April 2003

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0207157

zbMATH Keywords

quantum groupintertwining operatorsdifference equation

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Discrete version of topics in analysis (39A12) Moduli and deformations for ordinary differential equations (e.g., Knizhnik-Zamolodchikov equation) (32G34)

Related Items (12)

Degenerate integrability of quantum spin Calogero-Moser systems ⋮ Asymptotic boundary KZB operators and quantum Calogero-Moser spin chains ⋮ Traces of intertwiners for quantum affine algebras and difference equations (after Etingof-Schiffmann-Varchenko) ⋮ Traces of intertwiners for quantum affine \(\mathfrak{sl}_2\) and Felder-Varchenko functions ⋮ Discrete-continuous bispectral operators and rational Darboux transformations ⋮ Modifications of bundles, elliptic integrable systems, and related problems ⋮ Affine Macdonald conjectures and special values of Felder-Varchenko functions ⋮ \((q, t)\)-KZ equations for quantum toroidal algebra and Nekrasov partition functions on ALE spaces ⋮ Spin Calogero particles and bispectral solutions of the matrix KP hierarchy ⋮ Quasi-Hopf twist and elliptic Nekrasov factor ⋮ Orthogonality and the qKZB-heat equation for traces of \(U_q({\mathfrak g})\)-intertwiners ⋮ Universal vertex-IRF transformation for quantum affine algebras

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