Temperley-Lieb R-matrices from generalized Hadamard matrices
classification
🧮 math-ph
math.GRmath.MP
keywords
matriceshadamardtemperley-liebtheyalgebrabutsoncharacterizedclassifications
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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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