76 citations · 141 across the 5 of their papers we have counts for
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math.RT2005
Representations of rational Cherednik algebras
Raphael Rouquier
This paper surveys the representation theory of rational Cherednik algebras. We also discuss the representations of the spherical subalgebras. We describe in particular the results…
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…