Traces of intertwiners for quantum groups and difference equations
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Publication:1868419
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
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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