5 citations · 8 across the 6 of their papers we have counts for
9 papers
Extriangulated structures from stability conditions and application to braid representations
Hoel Queffelec, Anne-Laure Thiel, Emmanuel Wagner
We use the notion of Bridgeland stability condition and its associated metric to endow triangulated categories with extriangulated structures and study their extriangulated Grothen…
Virtual Artin groups
Paolo Bellingeri, Luis Paris, Anne-Laure Thiel
Starting from the observation that the standard presentation of a virtual braid group mixes the standard presentation of the corresponding braid group with the standard presentatio…
A Soergel-like category for complex reflection groups of rank one
Thomas Gobet, Anne-Laure Thiel
We introduce analogues of Soergel bimodules for complex reflection groups of rank one. We give an explicit parametrization of the indecomposable objects of the resulting category a…
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…
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…
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…