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math.GT2016
A Survey on Temperley-Lieb-type quotients from the Yokonuma-Hecke algebras
Dimos Goundaroulis
In this survey we collect all results regarding the construction of the Framization of the Temperley-Lieb algebra of type as a quotient algebra of the Yokonuma-Hecke algebra of…
math.GT2016
A new two-variable generalization of the Jones polynomial
Dimos Goundaroulis, Sofia Lambropoulou
We present a new 2-variable generalization of the Jones polynomial that can be defined through the skein relation of the Jones polynomial. The well-definedness of this new generali…
math.GT2016
Classical link invariants from the framizations of the Iwahori-Hecke algebra and the Temperley-Lieb algebra of type
Dimos Goundaroulis, Sofia Lambropoulou
In this paper we first present the construction of the new 2-variable classical link invariants arising from the Yokonuma-Hecke algebras , which are not topologic…