Determination of the representations and a basis for the Yokonuma-Temperley-Lieb algebra

Published 22 Nov 2013 in math.RT | (1311.5626v3)

Abstract: We determine the representations of the Yokonuma-Temperley-Lieb algebra, which is defined as a quotient of the Yokonuma-Hecke algebra by generalising the construction of the classical Temperley-Lieb algebra. We then deduce the dimension of this algebra, and produce an explicit basis for it.

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