Framization of the Temperley-Lieb AlgebraReport as inadecuate

 Framization of the Temperley-Lieb Algebra

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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 and topologically consistent. Here, our framization is defined as a quotient of the Yokonuma-Hecke algebra. The main theorem provides necessary conditions for the Markov trace defined on the Yokonuma-Hecke algebra to pass through to our framization.

Author: Dimos Goundaroulis; Jesus Juyumaya; Sofia Lambropoulou


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