24 citations · 37 across the 12 of their papers we have counts for
12 papers
Semicontinuity properties of Kazhdan-Lusztig cells
Cédric Bonnafé
Computations in small Coxeter groups or dihedral groups suggest that the partition into Kazhdan-Lusztig cells with unequal parameters should obey to some semicontinuity phenomenon…
On Kazhdan-Lusztig cells in type B
Cédric Bonnafé
We prove that, for any choice of parameters, the Kazhdan-Lusztig cells of a Weyl group of type are unions of combinatorial cells (defined using the domino insertion algorithm).
Automorphisms of Coxeter groups and Lusztig's conjectures for Hecke algebras with unequal parameters
Cédric Bonnafé
Let be a Coxeter system, let be a finite solvable group of automorphisms of and let be a weight function which is invariant under . Let denote the…
Representation theory of Mantaci-Reutenauer algebras
Cédric Bonnafé
We study some aspects of the representation theory of Mantaci-Reutenauer algebras: Cartan matrix, Loewy length, modular representations.
On the character ring of a finite group
Cédric Bonnafé
Let be a finite group and let be a sufficiently large finite field. Let denote the character ring of (i.e. the Grothendieck ring of the category of ${\mathbb{C}}…
A note on the Grothendieck ring of the symmetric group
Cédric Bonnafé
Let be a prime number and let be a non-zero natural number. We compute the descending Loewy series of the algebra , where denotes the ring of virtual ord…