474 citations · 621 across the 10 of their papers we have counts for
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math.RT2005
Coxeter orbits and modular representations
Cédric Bonnafé, Raphaël Rouquier
We study the modular representations of finite groups of Lie type arising in the cohomology of certain quotients of Deligne-Lusztig varieties associated with Coxeter elements. Thes…
math.RT2005
q-Schur algebras and complex reflection groups, I
Raphael Rouquier
We show that the category O for a rational Cherednik algebra of type A is equivalent to modules over a q-Schur algebra (parameter not a half integer), providing thus character form…
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…