Temperley-Lieb R-matrices from generalized Hadamard matrices
Mathematical Physics
2015-06-16 v1 Group Theory
math.MP
Abstract
New sets of rank n-representations of Temperley-Lieb algebra TL_N(q) are constructed. They are characterized by two matrices obeying a generalization of the complex Hadamard property. Partial classifications for the two matrices are given, in particular when they reduce to Fourier or Butson matrices.
Keywords
Cite
@article{arxiv.1306.2927,
title = {Temperley-Lieb R-matrices from generalized Hadamard matrices},
author = {Jean Avan and Tiago Fonseca and Luc Frappat and Petr Kulish and Eric Ragoucy and Genevieve Rollet},
journal= {arXiv preprint arXiv:1306.2927},
year = {2015}
}
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17 pages