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Teoreticheskaya i Matematicheskaya Fizika, 2014, Volume 178, Number 2, Pages 255–273
DOI: https://doi.org/10.4213/tmf8564 (Mi tmf8564) 		 
This article is cited in 7 scientific papers (total in 8 papers)

Temperley–Lieb $R$-matrices from generalized Hadamard matrices

J. Avana, T. Fonsecab, L. Frappatb, P. P. Kulishc, Э. Ragoucyab, G. Rolleta

a Laboratoire de Physique Théorique et Modélisation, Université de Cergy-Pontoise, Cergy-Pontoise, France
b Laboratoire d'Annecy-le-Vieux de Physique Théorique, CNRS — Université de Savoie, Annecy-le-Vieux, France
c St. Petersburg Department of the~Steklov Institute of Mathematics, St. Petersburg, Russia
Full-text PDF (539 kB) Citations (8)
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DOI: https://doi.org/10.4213/tmf8564
Abstract: We construct new sets of rank $n$-representations of the Temperley–Lieb algebra $TL_N(q)$ that are characterized by two matrices with a generalized complex Hadamard property. We give partial classifications for the two matrices, in particular, in the case where they reduce to Fourier or Butson matrices.
Keywords: Yang–Baxter equation, Temperley–Lieb algebra, $R$-matrix, Hadamard matrix.
Received: 18.06.2013
English version:
Theoretical and Mathematical Physics, 2014, Volume 178, Issue 2, Pages 223–238
DOI: https://doi.org/10.1007/s11232-014-0138-1
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: J. Avan, T. Fonseca, L. Frappat, P. P. Kulish, Э. Ragoucy, G. Rollet, “Temperley–Lieb $R$-matrices from generalized Hadamard matrices”, TMF, 178:2 (2014), 255–273; Theoret. and Math. Phys., 178:2 (2014), 223–238
Citation in format AMSBIB
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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