On the universal \(R\)-matrix of \(U_ q\widehat{sl}_ 2\) at roots of unity

DOI10.1007/BF02102434zbMath0869.17012arXivq-alg/9501016MaRDI QIDQ1918092

A. G. Sedrakyan, Tigran Hakobyan

Publication date: 2 September 1997

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

Full work available at URL: https://arxiv.org/abs/q-alg/9501016

zbMATH Keywords

Yang-Baxter equationrenormalizationroot of unityuniversal \(R\)-matrix

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)

Related Items (1)

The \(R\)-matrix action of untwisted affine quantum groups at roots of 1

Cites Work

• A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
• A \(q\)-analogue of \(U(\mathfrak{gl}(N+1))\), Hecke algebra, and the Yang-Baxter equation
• Quantum R matrix for the generalized Toda system
• Periodic and partially periodic representations of \(\text{SU}(N)_ q\)
• Flat periodic representations of \({\mathcal U}_ q({\mathcal G})\)
• The quantum Weyl group and the universal quantum \(R\)-matrix for affine Lie algebra \(A^{(1)}_ 1\)
• \((Z_ N\times\;)^{n-1}\) generalization of the chiral Potts model
• Quasitriangularity of quantum groups at roots of 1
• On automorphisms and universal \(\mathcal{R}\)-matrices at roots of unity
• Chiral Potts model as a descendant of the six-vertex model
• GENERALIZED GAUSS DECOMPOSITION OF TRIGONOMETRIC R-MATRICES
• Some new spinor representations of quantum groups B q(n), C q(n), G q(2)
• Quantised affine algebras and parameter-dependent R-matrices

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