Modular Harish-Chandra theory. I.
Morita equivalence for blocks of finite general linear groups.
Natural projectors in tensor spaces.
On characters of coprime operator groups and the Glaubermann character correspondence.
On minimal permutation representations of classical simple groups.
On semisimple classes and semisimple characters in finite reductive groups
In this article, we study the elements with disconnected centralizer in the Brauer complex associated to a simple algebraic group defined over a finite field with corresponding Frobenius map and derive the number of -stable semisimple classes of with disconnected centralizer when the order of the fundamental group has prime order. We also discuss extendibility of semisimple characters of the fixed point subgroup to their inertia group in the full automorphism group. As a consequence, we...
On strong reality of the unipotent Lie-type subgroups over a field of characteristic 2.
On the average values of the irreducible characters of finite groups of Lie type on geometric unipotent classes.
On the combinatorics of Young-Capelli symmetrizers.
On the decomposition numbers of the finite unitary groups in non-defining characteristic.
Quotient curves of the Suzuki curve
Representations of and and the q-Schur algebra
Series of nilpotent orbits.
Special representations of some simple groups with minimal degrees.
Special representations of the Borel and maximal parabolic subgroups of .
Subgroups and modular representations of finite quasisimple groups
Sur la cohomologie de la compactification des variétés de Deligne-Lusztig
Nous étudions la cohomologie de la compactification des variétés de Deligne-Lusztig associées aux éléments de Coxeter. Nous présentons une conjecture des relations entre la cohomologie de la variété et la cohomologie de ses compactifications partielles. Nous prouvons la conjecture dans le cas du groupe linéaire général.
Sur l’homologie des groupes orthogonaux et symplectiques à coefficients tordus
On calcule dans cet article l’homologie stable des groupes orthogonaux et symplectiques sur un corps fini à coefficients tordus par un endofoncteur usuel des -espaces vectoriels (puissance extérieure, symétrique, divisée...). Par homologie stable, on entend, pour tout entier naturel , les colimites des espaces vectoriels et — dans cette situation, la stabilisation (avec une borne explicite en fonction de et ) est un résultat classique de Charney. Tout d’abord, nous donnons un cadre...
The 3-modular characters of the twisted Chevalley group 2D4(2) y 2D4(2).2.
In this paper we calculate the 3-modular character table of the twisted Chevalley group 2D4(2) and its automorphism group 2D4(2).2. The Meat-Axe package for calculating modular characters over finite fields (Ryba (1990)) was used to calculate most of the characters. The method of condensation, which was explained in Suleiman (1990) was used to determine the complete character table. All these methods are explained later in this paper.
The based ring of the lowest two-sided cell of an affine Weyl group. II