Reflection \(K\)-matrices related to Temperley-Lieb \(R\)-matrices

DOI10.1007/s11232-011-0130-yzbMath1274.82006arXiv1012.3012OpenAlexW2008028711MaRDI QIDQ376927

Jean Avan, Geneviève Rollet, Petr P. Kulish

Publication date: 6 November 2013

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1012.3012

zbMATH Keywords

Yang-Baxter equation\(R\)-matrixopen spin chainreflection equation

Mathematics Subject Classification ID

Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Yang-Baxter equations (16T25)

Related Items (10)

Algebraic Bethe ansatz for the Temperley-Lieb spin-1 chain ⋮ Universal Bethe ansatz solution for the Temperley-Lieb spin chain ⋮ Exact solution of the quantum integrable model associated with the Motzkin spin chain ⋮ Temperley-Lieb \(R\)-matrices from generalized Hadamard matrices ⋮ Reflection matrices from Hadamard-type Temperley-Lieb \(R\)-matrices ⋮ Temperley–LiebK-matrices ⋮ Bethe ansatz for the Temperley–Lieb spin chain with integrable open boundaries ⋮ Quantum integrability and quantum groups: a special issue in memory of Petr P Kulish ⋮ On the \(\mathcal{{U}}_{q}[osp(1|2)\) Temperley-Lieb model] ⋮ Shor–Movassagh chain leads to unusual integrable model

Cites Work

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• Quantum symmetry algebras of spin systems related to Temperley–Lieb R-matrices
• INTEGRABILITY OF OPEN SPIN CHAINS WITH QUANTUM ALGEBRA SYMMETRY
• On spin systems related to the Temperley–Lieb algebra
• Boundary conditions for integrable quantum systems
• Hecke algebra solutions to the reflection equation
• Relations between the ‘percolation’ and ‘colouring’ problem and other graph-theoretical problems associated with regular planar lattices: some exact results for the ‘percolation’ problem

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