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Teoreticheskaya i Matematicheskaya Fizika, 2011, Volume 169, Number 2, Pages 194–203
DOI: https://doi.org/10.4213/tmf6721 (Mi tmf6721) 		 
This article is cited in 12 scientific papers (total in 13 papers)

Reflection $K$-matrices related to Temperley–Lieb $R$-matrices

J. Avana, P. P. Kulishb, G. Rolleta

a Laboratoire de physique théorique et modélisation (CNRS UMR 8089), Université de Cergy-Pontoise, Cergy-Pontoise, France
b St. Petersburg Department of the Steklov Institute of Mathematics, RAS, St. Petersburg, Russia
Full-text PDF (429 kB) Citations (13)
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DOI: https://doi.org/10.4213/tmf6721
Abstract: We construct general solutions of the reflection equation associated with Temperley–Lieb $R$-matrices. We find their parameterization and obtain the Hamiltonians of the corresponding integrable spin systems.
Keywords: Yang–Baxter equation, $R$-matrix, reflection equation, open spin chain.
Received: 19.11.2011
English version:
Theoretical and Mathematical Physics, 2011, Volume 169, Issue 2, Pages 1530–1538
DOI: https://doi.org/10.1007/s11232-011-0130-y
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: J. Avan, P. P. Kulish, G. Rollet, “Reflection $K$-matrices related to Temperley–Lieb $R$-matrices”, TMF, 169:2 (2011), 194–203; Theoret. and Math. Phys., 169:2 (2011), 1530–1538
Citation in format AMSBIB
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    • This publication is cited in the following 13 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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