An infinite dimensional Hodge-Tate theory
An Universal Invariant for Finite Groups of Linear Substitutions: with Application in the Theory of the Canonical Form of a Linear Substitution of Finite Period
Analyse spectrale des fonctions modulaires
Anneaux d'invariants de groupes finis Intersections complètes
Annihilator ideals of finite dimensional simple modules of two-parameter quantized enveloping algebra
Let be the two-parameter quantized enveloping algebra and the locally finite subalgebra of under the adjoint action. The aim of this paper is to determine some ring-theoretical properties of in the case when is not a root of unity. Then we describe the annihilator ideals of finite dimensional simple modules of by generators.
Another 80-dimensional extremal lattice
We show that the unimodular lattice associated to the rank 20 quaternionic matrix group is a fourth example of an 80-dimensional extremal lattice. Our method is to use the positivity of the -series in conjunction with an enumeration of all the norm 10 vectors. The use of Aschbacher’s theorem on subgroups of finite classical groups (reliant on the classification of finite simple groups) provides one proof that this lattice is distinct from the previous three, while computing the inner product...
Appendix on the discriminant quotient formula for global field
Applications de Gauss et pléthysme
Les représentations irréductibles de sont décrites par les foncteurs de Schur, dont la composition définit le pléthysme. Sa compréhension est un problème important en théorie des invariants, ou bien en relation avec les représentations des groupes symétriques.Nous proposons dans cet article une approche géométrique du problème. Généralisant les plongements classiques de Veronese et de Segre, nous construisons des plongements de variétés de drapeaux dans d’autres variétés de drapeaux, sur lesquels...
Arithmetic groups and salem numbers.
Arithmetic groups of gauge transformations.
Arithmetic of stabilizers of ideals in group rings.
Arithmeticity of the irreducible lattices in the semi-simple groups of rank greater than 1.
Arithmetisch definierte Gruppen mit Galoisoperation.
Asymptotic-group analysis of algebraic equations.
Asymptotics of Matrix Coefficients, Perverse Sheaves and Jacquet Modules.
Automorphic realization of residual Galois representations
We show that it is possible in rather general situations to obtain a finite-dimensional modular representation of the Galois group of a number field as a constituent of one of the modular Galois representations attached to automorphic representations of a general linear group over , provided one works “potentially.” The proof is based on a close study of the monodromy of the Dwork family of Calabi–Yau hypersurfaces; this in turn makes use of properties of rigid local systems and the classification...
Automorphism groups of polycyclic-by-finite groups and arithmetic groups
We show that the outer automorphism group of a polycyclic-by-finite group is an arithmetic group. This result follows from a detailed structural analysis of the automorphism groups of such groups. We use an extended version of the theory of the algebraic hull functor initiated by Mostow. We thus make applicable refined methods from the theory of algebraic and arithmetic groups. We also construct examples of polycyclic-by-finite groups which have an automorphism group which does not contain an arithmetic...
Automorphismengruppen achtdimensionaler lokalkompakter Quasikörper.
Automorphismes et deformations des varietes de Borel
Autour d'une conjecture de Serge Lang.