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math.GT2017
Inductive basis on Birman-Murakami-Wenzl algebras and (transverse) Markov traces
Loïc Poulain d'Andecy, Anne-Laure Thiel, Emmanuel Wagner
We construct a new inductive basis of the Birman-Murakami-Wenzl algebra. Using it, we provide a new proof of the existence of the Markov trace on the BMW algebras affording the two…
math.GT2016★ 8 cited
The HOMFLYPT polynomials of sublinks and the Yokonuma-Hecke algebras
L. Poulain d'Andecy, E. Wagner
We describe completely the link invariants constructed using Markov traces on the Yokonuma-Hecke algebras in terms of the linking matrix and the HOMFLYPT polynomials of sublinks.
math.GT2016
Invariants for links from classical and affine Yokonuma--Hecke algebras
L. Poulain d'Andecy
We present a construction of invariants for links using an isomorphism theorem for affine Yokonuma--Hecke algebras. The isomorphism relates affine Yokonuma--Hecke algebras with usu…