Quasitriangularity of quantum groups at roots of 1

DOI10.1007/BF02099440zbMath0838.17009arXivhep-th/9403105MaRDI QIDQ1891634

Nicolai Reshetikhin

Publication date: 22 June 1995

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

Full work available at URL: https://arxiv.org/abs/hep-th/9403105

zbMATH Keywords

quantum groupbraidingquasitriangularityexterior automorphism

Mathematics Subject Classification ID

Related Items (12)

On the universal \(R\)-matrix of \(U_ q\widehat{sl}_ 2\) at roots of unity ⋮ Geometry of the analytic loop group ⋮ Other quantum relatives of the Alexander polynomial through the Links-Gould invariants ⋮ Tangle functors from semicyclic representations ⋮ Finite-dimensional representations of quantum affine algebras at roots of unity ⋮ The unrolled quantum group inside Lusztig's quantum group of divided powers ⋮ Braidings of formal Poisson groups with quasitriangular dual ⋮ New \(R\)-matrices for small quantum groups ⋮ Braiding structures on formal Poisson groups and classical solutions of the QYBE. ⋮ Symmetric pairs for Nichols algebras of diagonal type via star products ⋮ The \(R\)-matrix action of untwisted affine quantum groups at roots of 1 ⋮ An \(\hbar\)-adic valuation property of universal \(R\)-matrices

Cites Work

• Unnamed Item
• A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
• Generalized chiral Potts models and minimal cyclic representations of \(U_ q (\widehat {\mathfrak gl}(n,C))\)
• Classical solutions of the quantum Yang-Baxter equation
• Invariants of 3-manifolds via link polynomials and quantum groups
• Introduction to quantum groups

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