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Determination of the Representations and a Basis for the Yokonuma–Temperley–Lieb Algebra

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Original languageEnglish
JournalAlgebras and representation theory
Early online date18 Sep 2014
Publication statusPublished - 2014


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.

ID: 17307339