J. Avan, P. P. Kulish, G. Rollet, “Reflection $K$-matrices related to Temperley–Lieb $R$-matrices”, TMF, 2011, Volume 169, Number 2,Pages 194

This article is cited in 12 papers

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

J. Avan^a, P. P. Kulish^b, G. Rollet^a

^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

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

DOI: 10.4213/tmf6721