Thursday, June 13, 2013

1306.2927 (Jean Avan et al.)

Temperley-Lieb R-matrices from generalized Hadamard matrices    [PDF]

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