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New solutions to the \(sl_q(2)\)-invariant Yang-Baxter equations at roots of unity: cyclic representations

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Publication:1950492
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DOI10.1016/J.NUCLPHYSB.2012.11.003zbMath1262.81076arXiv1203.6528OpenAlexW2094173461MaRDI QIDQ1950492

Yanyan Li

Publication date: 13 May 2013

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1203.6528



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) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Nonselfadjoint operator theory in quantum theory including creation and destruction operators (81Q12) Yang-Baxter equations (16T25)


Related Items (3)

On the solutions to the multi-parametric Yang-Baxter equations ⋮ On Bailey pairs for \(\mathcal{N} = 2\) supersymmetric gauge theories on \(S_b^3/\mathbb{Z}_r\) ⋮ Series of the solutions to Yang-Baxter equations: Hecke type matrices and descendant R-, L-operators







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