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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.GT2015
Categorical action of the extended braid group of affine type A
Agnes Gadbled, Anne-Laure Thiel, Emmanuel Wagner
Using a quiver algebra of a cyclic quiver, we construct a faithful categorical action of the extended braid group of affine type A on its bounded homotopy category of finitely gene…