On the Schur Indices of Characters of GL (2, q) and GL (3, q).
On the Unipotent Characters of the Exceptional Groups Over Finite Fields.
On unipotent blocks and their ordinary characters.
Opérateur de torsion dans et
Paires duales réductives en caractéristique 2
Periodic Simple Modules for SU3(q2) in the Describing Characteristic p...2.
Présentation de certains couples fischériens de type classique
Primitive Idempotents of the Group Algebra CSL(3,q).
Products of conjugacy classes in finite unitary groups and
For the groups , , , over a finite field we solve the class product problem, i.e., we give a complete list of -tuples of conjugacy classes whose product does not contain the identity matrix.
Products of finite nilpotent groups.
Projective Modules in Blocks with Elementary Abelian Defect Groups.
Properties of element orders in covers for and .
Propriétés nouvelles des tableaux de Young
Quasirecognition by the set of element orders of the groups and .
Quiver varieties and the character ring of general linear groups over finite fields
Given a tuple of irreducible characters of we define a star-shaped quiver together with a dimension vector . Assume that is generic. Our first result is a formula which expresses the multiplicity of the trivial character in the tensor product as the trace of the action of some Weyl group on the intersection cohomology of some (non-affine) quiver varieties associated to . The existence of such a quiver variety is subject to some condition. Assuming that this condition is satisfied, we...
Quotients of Infinite Reflection Groups.
Rational and Generic Cohomology
Rational points and Coxeter group actions on the cohomology of toric varieties
We derive a simple formula for the action of a finite crystallographic Coxeter group on the cohomology of its associated complex toric variety, using the method of counting rational points over finite fields, and the Hodge structure of the cohomology. Various applications are given, including the determination of the graded multiplicity of the reflection representation.
Rational tori, semisimple orbits and the topology of hyperplane complements.
Recognition of some linear groups over the binary field by the spectrum.