Projective modules in the intersection cohomology of Deligne–Lusztig varieties

Brauer: ”understand” the representation theory of H from local subgroups (ℓ-subgroups and their normalizers)... Brauer tree of the principal

When d = h is a the Coxeter number, Hiss, Lübeck and Malle have formu- lated in [19] a conjecture relating the cohomology of the Deligne-Lusztig variety associated to a Coxeter

Using virtual projective characters coming from the ℓ -adic cohomology of Deligne-Lusztig varieties, we determine new decomposition numbers for principal blocks of some groups of

To conclude, we observe that each of these cohomology groups is the Harish-Chandra restric- tion of the groups given in the theorem, corresponding to the characters of the

In addition, for finite reduc- tive groups, it is conjectured that any ` -block is Morita equivalent to a so-called unipo- tent `-block of a possibly disconnected group [10], which is

In this paper we present a result concerning estimates of the locus of positive Lelong numbers for positive closed currents defined on projective varieties with respect to a

– This paper concerns the dimensions of certain affine Deligne–Lusztig varieties, both in the affine Grassmannian and in the affine flag manifold.. We prove his conjecture for b in

From this case the general dimension formula for affine Deligne–Lusztig varieties for special maximal compact subgroups of split groups follows, as was shown in a recent paper by