20 citations · 28 across the 7 of their papers we have counts for
7 papers
Modular representations of finite groups and Lie theory
Raphael Rouquier
This article discusses the modular representation theory of finite groups of Lie type from the viewpoint of Broue's abelian defect group conjecture. We discuss both the defining ch…
Cherednik algebras and Calogero-Moser cells
Cédric Bonnafé, Raphaël Rouquier
Using the representation theory of Cherednik algebras at and a Galois covering of the Calogero-Moser space, we define the notions of left, right and two-sided Calogero-Moser…
The Brauer trees of unipotent blocks
David A. Craven, Olivier Dudas, Raphaël Rouquier
In this paper we complete the determination of the Brauer trees of unipotent blocks (with cyclic defect groups) of finite groups of Lie type. These trees were conjectured by the fi…
Calogero-Moser versus Kazhdan-Lusztig cells
Cédric Bonnafé, Raphaël Rouquier
In 1979, Kazhdan and Lusztig developed a combinatorial theory associated with Coxeter groups. They defined in particular partitions of the group in left and two-sided cells. In 198…
Stable categories and reconstruction
Jeremy Rickard, Raphael Rouquier
This work is an attempt towards a Morita theory for stable equivalences between self-injective algebras. More precisely, given two self-injective algebras A and B and an equivalenc…
The Dynkin diagram cohomology of finite Coxeter groups
R. Rouquier, V. Toledano-Laredo
Let D be a connected graph. The Dynkin complex CD(A) of a D-algebra A was introduced by the second author in [TL2] to control the deformations of quasi-Coxeter algebra structures o…