Juyumaya, JesúsJesúsJuyumayaDimos GoundaroulisAristides KontogeorgisSofia Lambropoulou2025-08-252025-08-252017-01-0110.4310/mrl.2017.v24.n2.a32-s2.0-85025689818https://cris-uv-2.scimago.es/handle/123456789/3150WOS:000406176100003We 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 meaningful. Our framization of the Temperley-Lieb algebra 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 the quotient algebra. Using this we construct 1-variable invariants for classical knots and links, which, as we show, are not topologically equivalent to the Jones polynomial.enacceso abiertoMathematicsarticle