Algebras and Quaternion Defect Groups. II.
An algorithm for the decomposition of ideals of the group ring of a symmetric group.
An analogue of the Duistermaat-van der Kallen theorem for group algebras
Let G be a group, R an integral domain, and V G the R-subspace of the group algebra R[G] consisting of all the elements of R[G] whose coefficient of the identity element 1G of G is equal to zero. Motivated by the Mathieu conjecture [Mathieu O., Some conjectures about invariant theory and their applications, In: Algèbre non Commutative, Groupes Quantiques et Invariants, Reims, June 26–30, 1995, Sémin. Congr., 2, Société Mathématique de France, Paris, 1997, 263–279], the Duistermaat-van der Kallen...
An analytic interpretation of real dimension subgroups.
An expansion of the Jones representation of genus 2 and the Torelli group.
An explicit Brauer formula for local Galois characters.
An infinite-dimensional torsion-free FP...group.
An Intertwining Number Theorem for Integral Representations and Applications.
An invariant for finitely presented ...G-modules.
Anneaux d’entiers stablement libres sur
Le groupe est le plus petit groupe pour lequel existent des modules stablement libres non libres. On montre que toutes les classes d’isomorphisme de tels modules peuvent être représentées une infinité de fois par des anneaux d’entiers. On applique un travail de classification de Swan, pour cela on doit construire explicitement des bases normales d’entiers d’extensions à groupe ; cela se fait en liant un critère de Martinet avec une construction de Witt.
Another counterexample to a conjecture of Zassenhaus.
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 of stabilizers of ideals in group rings.
Artin's conjecture, Turing's method, and the Riemann hypothesis.
Aspherical four-manifolds and the centres of two-knot groups.
Asymptotic Behaviour of Colength of Varieties of Lie Algebras
This project was partially supported by RFBR, grants 99-01-00233, 98-01-01020 and 00-15-96128.We study the asymptotic behaviour of numerical characteristics of polynomial identities of Lie algebras over a field of characteristic 0. In particular we investigate the colength for the cocharacters of polynilpotent varieties of Lie algebras. We prove that there exist polynilpotent Lie varieties with exponential and overexponential colength growth. We give the exact asymptotics for the colength of a product...
Auflösbare Gruppen auf denen nicht auflösbare Gruppen operieren.
Augmentation quotients for Burnside rings of generalized dihedral groups
Let be a finite abelian group of odd order, be its generalized dihedral group, i.e., the semidirect product of acting on by inverting elements, where is the cyclic group of order two. Let be the Burnside ring of , be the augmentation ideal of . Denote by and the th power of and the th consecutive quotient group , respectively. This paper provides an explicit -basis for and determines the isomorphism class of for each positive integer .
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...