Temperley-Lieb \(R\)-matrices from generalized Hadamard matrices

DOI10.1007/s11232-014-0138-1zbMath1310.82010arXiv1306.2927OpenAlexW3100964305MaRDI QIDQ461594

J. Herrera, D. Rodríguez-Gómez

Publication date: 13 October 2014

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

Full work available at URL: https://arxiv.org/abs/1306.2927

zbMATH Keywords

Yang-Baxter equationHadamard matrix\(R\)-matrixTemperley-Lieb algebra

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 (6)

Tensor space representations of Temperley–Lieb algebra via orthogonal projections of rank r ≥ 1 ⋮ Tensor space representations of Temperley–Lieb algebra and generalized permutation matrices ⋮ Reflection matrices from Hadamard-type Temperley-Lieb \(R\)-matrices ⋮ A relation for the Jones–Wenzl projector and tensor space representations of the Temperley–Lieb algebra ⋮ Quantum integrability and quantum groups: a special issue in memory of Petr P Kulish ⋮ Complex Hadamard matrices with noncommutative entries

Cites Work

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• On spin systems related to the Temperley–Lieb algebra
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• 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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