Reflection matrices from Hadamard-type Temperley-Lieb R-matrices

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 $T{L}_N(\sqrt{n})$. 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

11 pages

References in corpus (1)

• Temperley-Lieb R-matrices from generalized Hadamard matrices

Cited by in corpus (1)

• Quantum Integrability and Quantum Groups: a special issue in memory of Petr P. Kulish