37 citations · 78 across the 20 of their papers we have counts for
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Translation by the full twist and Deligne-Lusztig varieties
Cédric Bonnafé, Olivier Dudas, Raphaël Rouquier
We prove several conjectures about the cohomology of Deligne-Lusztig varieties: invariance under conjugation in the braid group, behaviour with respect to translation by the full t…
A surface of degree with singularities of type
Cédric Bonnafé
Using the invariant algebra of the reflection group denoted by in Shephard-Todd classification, we construct three irreducible surfaces in with many singularities:…
Fixed points in smooth Calogero-Moser spaces
Cédric Bonnafé, Ruslan Maksimau
We prove that every irreducible component of the fixed point variety under the action of -th roots of unity in a smooth Caloger-Moser space is isomorphic to a Calogero-Moser spa…
On the Calogero-Moser space associated with dihedral groups
Cédric Bonnafé
Using the geometry of the associated Calogero-Moser space, R. Rouquier and the author have attached to any finite complex reflection group several notions (Calogero-Moser left,…
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…
An asymptotic cell category for cyclic groups
Cédric Bonnafé, Raphaël Rouquier
In his theory of unipotent characters of finite groups of Lie type, Lusztig constructed modular categories from two-sided cells in Weyl groups. Broué,Malle and Michel have extended…