@article{Goundar2014BCP_TYAp24,
  title = {The Yokonuma-Temperley-Lieb Algebra},
  author = {Goundaroulis, Demos and Juyumaya, Jesus and Kontogeorgis, Aristides and Lambropoulou, Sofia},
  file = {YTL09.08.14.pdf},
  volume = {103},
  pages = {24},
  url = {http://journals.impan.gov.pl/bc/},
  year = {2014},
  journal = {Banach Center Publications},
  abstract = {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.}
}