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