Twisted traces of quantum intertwiners and quantum dynamical \(R\)-matrices corresponding to generalized Belavin-Drinfeld triples.

DOI10.1007/PL00005562zbMath1042.17012arXivmath/0003109OpenAlexW3099770992MaRDI QIDQ5940395

Pavel I. Etingof, Olivier Schiffmann

Publication date: 9 August 2001

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

Full work available at URL: https://arxiv.org/abs/math/0003109

zbMATH Keywords

generalized Belavin-Drinfeld triples product of intertwining operators quantum dynamical \(R\)-matrices

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) Difference operators (39A70) Moduli and deformations for ordinary differential equations (e.g., Knizhnik-Zamolodchikov equation) (32G34)

Related Items (7)

Traces of intertwiners for quantum affine algebras and difference equations (after Etingof-Schiffmann-Varchenko) ⋮ Geometry of Higgs bundles over elliptic curves related to automorphisms of simple Lie algebras, Calogero-Moser systems, and KZB equations ⋮ Twist star products and Morita equivalence ⋮ Mickelsson algebras and Zhelobenko operators. ⋮ R-matrix and inverse Shapovalov form ⋮ Classification of quantum groups and Belavin–Drinfeld cohomologies for orthogonal and symplectic Lie algebras ⋮ Dynamical Weyl groups and applications

This page was built for publication: Twisted traces of quantum intertwiners and quantum dynamical \(R\)-matrices corresponding to generalized Belavin-Drinfeld triples.