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arXiv · 1306.2927

Temperley-Lieb R-matrices from generalized Hadamard matrices

Jean Avan·Tiago Fonseca·Luc Frappat·Petr Kulish·Eric Ragoucy·Genevieve Rollet
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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.

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Jean Avan, Tiago Fonseca, Luc Frappat, Petr Kulish, Eric Ragoucy, Genevieve Rollet. 2013-06-12. Temperley-Lieb R-matrices from generalized Hadamard matrices. https://doi.org/10.1007/s11232-014-0138-1

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