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Compactification des variétés de Deligne-Lusztig

Cédric BonnaféRaphaël Rouquier — 2009

Annales de l’institut Fourier

Nous construisons explicitement la normalisation de la compactification de Bott-Samelson-Demazure-Hansen des variétés de Deligne-Lusztig X ( w ) dans leur revêtement Y ( w ) et retrouvons ainsi un résultat de Deligne-Lusztig sur la monodromie locale autour des diviseurs de la compactification.

Generalized descent algebra and construction of irreducible characters of hyperoctahedral groups

Cédric BonnaféChristophe Hohlweg — 2006

Annales de l’institut Fourier

We construct a subalgebra Σ ( W n ) of dimension 2 · 3 n - 1 of the group algebra of the Weyl group W n of type B n containing its usual Solomon algebra and the one of 𝔖 n : Σ ( W n ) is nothing but the Mantaci-Reutenauer algebra but our point of view leads us to a construction of a surjective morphism of algebras Σ ( W n ) Z Irr ( W n ) . Jöllenbeck’s construction of irreducible characters of the symmetric group by using the coplactic equivalence classes can then be transposed to W n . In an appendix, P. Baumann and C. Hohlweg present in an explicit and...

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