On the framization of knot algebras

Jesus Juyumaya; Sofia Lambropoulou

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arXiv · 1406.6849

On the framization of knot algebras

Jesus Juyumaya·Sofia Lambropoulou

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Abstract

This paper presents results on the framization of some knot algebras, defined by the authors. We explain the motivations of the concept of framization, coming from the Yokonuma--Hecke algebras, as well as recent results on the framization of the Temperley--Lieb algebra. Finally, we propose framizations for other knot algebras such as the BMW algebra, the $B$--type related Hecke algebras and the singular Hecke algebra.

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Jesus Juyumaya, Sofia Lambropoulou. 2014-06-26. On the framization of knot algebras. https://arxiv.org/abs/1406.6849

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