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math.RT2005
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…
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
Two-sided cells in type (asymptotic case)
Cédric Bonnafé
We compute two-sided cells of Weyl groups of type for the "asymptotic" choice of parameters. We also obtain some partial results concerning Kazhdan-Lusztig conjectures in this…