76 citations · 141 across the 5 of their papers we have counts for
Showing 2004 · math.RTShow all
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math.RT2004★ 49 cited
Categorification of the braid groups
Raphael Rouquier
We construct a categorification of the braid groups associated with Coxeter groups inside the homotopy category of Soergel's bimodules. Classical actions of braid groups on triangu…
math.RT2004★ 76 cited
Derived equivalences for symmetric groups and sl\_2-categorification
Joseph Chuang, Raphael Rouquier
We define and study sl\_2-categorifications on abelian categories. We show in particular that there is a self-derived (even homotopy) equivalence categorifying the adjoint action o…