Reflection matrices from Hadamard-type Temperley-Lieb R-matrices
Mathematical Physics
2015-06-16 v1 High Energy Physics - Theory
math.MP
Quantum Algebra
Exactly Solvable and Integrable Systems
Abstract
We classify non-operatorial matrices K solving Skylanin's quantum reflection equation for all R-matrices obtained from the newly defined general rank- n Hadamard type representations of the Temperley-Lieb algebra . They are characterized by a universal set of algebraic equations in a specific canonical basis uniquely defined from the "Master matrix" associated to the chosen realization of Temperley-Lieb algebra
Keywords
Cite
@article{arxiv.1307.7608,
title = {Reflection matrices from Hadamard-type Temperley-Lieb R-matrices},
author = {J. Avan and P. P. Kulish and G. Rollet},
journal= {arXiv preprint arXiv:1307.7608},
year = {2015}
}
Comments
11 pages