Geodesic
Reflection matrices from Hadamard-type Temperley–Lieb $R$-matrices
Teoretičeskaâ i matematičeskaâ fizika, Tome 179 (2014) no. 1, pp. 3-12 Cet article a éte moissonné depuis la source Math-Net.Ru

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We classify nonoperatorial matrices $K$ solving the Skylanin quantum reflection equation for all $R$-matrices obtained from the newly defined general rank-$n$ Hadamard-type representations of the Temperley–Lieb algebra $TL_N(\sqrt{n})$. They are characterized by a universal set of algebraic equations in a specific canonical basis uniquely defined by the “master matrix” associated with the chosen realization of the Temperley–Lieb algebra.
Keywords: reflection equation, Yang–Baxter equation, Temperley–Lieb algebra. 
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J. Avan; P. P. Kulish; G. Rollet. Reflection matrices from Hadamard-type Temperley–Lieb $R$-matrices. Teoretičeskaâ i matematičeskaâ fizika, Tome 179 (2014) no. 1, pp. 3-12. http://geodesic.mathdoc.fr/item/TMF_2014_179_1_a0/

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