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math.RT2017★ 3 cited
On generalized categories of Soergel bimodules in type
Thomas Gobet, Anne-Laure Thiel
In this note, we compute the split Grothendieck ring of a generalized category of Soergel bimodules of type , where we take one generator for each reflection. We give a presen…
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…