76 citations · 141 across the 5 of their papers we have counts for
5 papers
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…
Categories derivees et geometrie birationnelle
Raphael Rouquier
Originally a technical tool, the derived category of coherent sheaves over an algebraic variety has become over the last twenty years an important invariant in the birational study…
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…
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…
Dimensions of triangulated categories
Raphael Rouquier
We define a dimension for a triangulated category. We prove a representabilityTheorem for a certain class of functors on finite dimensional triangulatedcategories. We study the dim…