%0 Journal Article
%T The Yokonuma-Temperley-Lieb Algebra
%A Dimos Goundaroulis
%A Jesus Juyumaya
%A Aristides Kontogeorgis
%A Sofia Lambropoulou
%J Mathematics
%D 2010
%I arXiv
%X In this paper we introduce the Yokonuma-Temperley-Lieb algebra as a quotient of the Yokonuma-Hecke algebra over a two-sided ideal generated by an expression analogous to the one of the classical Temperley-Lieb algebra. The main theorem provides necessary and sufficient conditions for the Markov trace defined on the Yokonuma-Hecke algebra to pass through to the quotient algebra, leading to a sequence of knot invariants which coincide with the Jones polynomial.
%U http://arxiv.org/abs/1012.1557v4