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• W2743705487 abstract "We extend the Framization of the Temperley-Lieb algebra to Coxeter systems of type $mathtt{B}$. We first define a natural extension of the classical Temperley-Lieb algebra to Coxeter systems of type $mathtt{B}$ and prove that such an extension supports a unique linear Markov trace function. We then introduce the Framization of the Temperley-Lieb algebra of type $mathtt{B}$ as a quotient of the Yokonuma-Hecke algebra of type $mathtt{B}$. The main theorem provides necessary and sufficient conditions for the Markov trace defined on the Yokonuma-Hecke algebra of type $mathtt{B}$ to pass to the quotient algebra. Using the main theorem, we construct invariants for framed links and classical links inside the solid torus." @default.
• W2743705487 created "2017-08-17" @default.
• W2743705487 creator A5029634123 @default.
• W2743705487 creator A5085285953 @default.
• W2743705487 date "2017-08-07" @default.
• W2743705487 modified "2023-09-27" @default.
• W2743705487 title "Framization of a Temperley-Lieb algebra of type $mathtt{B}$" @default.
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