Decomposition of isometries of isotropic over finite fields into simple isometries
Decomposition of reductive regular Prehomogeneous Vector Spaces
Let be a regular prehomogeneous vector space (abbreviated to ), where is a reductive algebraic group over . If is a decomposition of into irreducible representations, then, in general, the PV’s are no longer regular. In this paper we introduce the notion of quasi-irreducible (abbreviated to -irreducible), and show first that for completely -reducible ’s, the -isotypic components are intrinsically defined, as in ordinary representation theory. We also show that, in an appropriate...
Definable subgroups of algebraic groups over finite fields.
Definite arithmetische Gruppen.
Définition de l'intégrale de Feynman et processus à sauts
Definition einer Dixmier-Abbildung für ? l(n, C).
Deformation Retracts with Lowest Possible Dimension of Arithmetic Quotients of Self-Adjoint Homogeneous Cones.
Degree two monomial representations of local Weil groups.
Deligne-Lusztig restriction of a Gelfand-Graev module
Using Deodhar’s decomposition of a double Schubert cell, we study the regular representations of finite groups of Lie type arising in the cohomology of Deligne-Lusztig varieties associated to tori. We deduce that the Deligne-Lusztig restriction of a Gelfand-Graev module is a shifted Gelfand-Graev module.
Der Grad erzeugender Funktionen von Invariantenringen.
Der Primidealraum der C*-Algebra und die unzerlegebaren Charaktere der Gruppe GI (...,q).
Designs, groups and lattices
The notion of designs in Grassmannian spaces was introduced by the author and R. Coulangeon, G. Nebe, in [3]. After having recalled some basic properties of these objects and the connections with the theory of lattices, we prove that the sequence of Barnes-Wall lattices hold -Grassmannian designs. We also discuss the connections between the notion of Grassmannian design and the notion of design associated with the symmetric space of the totally isotropic subspaces in a binary quadratic space, which...
Détermination des caractères des groupes finis simples : travaux de Lusztig
Développements récents sur les groupes de tresses. Applications à la topologie et à l'algèbre
Die algebraische Lösung des Problems der Substitutionsgruppen.
Die irreduziblen Darstellungen der Gruppen SL...(Z...), insbesondere SL...(Z...). II. Teil
Die irreduziblen Darstellungen der Gruppen SL...(Z...), insbesondere SL...(Z...). I. Teil
Die irreduziblen Darstellungen von GL2(Zp), insbesondere GL2(Z2).
Die Kohomologie S-arithmetischer Gruppen über Funktionenkörpern.
Die Länge einer symplektischen Abbildung.