@book{ftl, title = {Framization of the Temperley-Lieb Algebra}, author = {Goundaroulis, Demos and Juyumaya, Jesus and Kontogeorgis, Aristides and Lambropoulou, Sofia}, file = {ftl\ 27.07.14.pdf}, volume = {}, pages = {26}, year = {2014}, url = {http://arxiv.org/abs/1304.7440}, journal = {http://arxiv.org/abs/1304.7440}, abstract = {In this paper we propose a framization of the Temperley–Lieb algebra. The framization is a procedure that can briefly be described as the adding of framing to a known knot algebra in a way that is both algebraically consistent and topologically meaningfull. Here, our framization is defined as a quotient of the Yokonuma–Hecke algebra. The main theorem provides necessary and sufficient conditions for the Markov trace defined on the Yokonuma–Hecke algebra to pass through to our framization. } }