Abstract homomorphisms of simple algebraic groups
Actions of monoidally equivalent compact quantum groups and applications to probabilistic boundaries
The notion of monoidal equivalence for compact quantum groups was recently introduced by Bichon, De Rijdt and Vaes. In this paper we prove that there is a natural bijective correspondence between actions of monoidally equivalent quantum groups on unital -algebras or on von Neumann algebras. This correspondence turns out to be very useful to obtain the behavior of Poisson and Martin boundaries under monoidal equivalence of quantum groups. Finally, we apply these results to identify the Poisson boundary...
Addendum : Finiteness theorems for discrete subgroups of bounded covolume in semi-simple groups
Adèles et groupes algébriques
Adhérence d'orbite et invariants.
Affine braid group actions on derived categories of Springer resolutions
In this paper we construct and study an action of the affine braid group associated with a semi-simple algebraic group on derived categories of coherent sheaves on various varieties related to the Springer resolution of the nilpotent cone. In particular, we describe explicitly the action of the Artin braid group. This action is a “categorical version” of Kazhdan-Lusztig-Ginzburg’s construction of the affine Hecke algebra, and is used in particular by the first author and I. Mirković in the course...
Affine lines on logarithmic Q-homology planes.
Affine quivers and canonical bases
Affine Weyl groups as infinite permutations.
Alcôves et -rang des variétés abéliennes
On étudie la relation entre le -rang des variétés abéliennes en caractéristique et la stratification de Kottwitz-Rapoport de la fibre spéciale en de l’espace de module des variétés abéliennes principalement polarisées avec structure de niveau de type Iwahori en . En particulier, on démontre la densité du lieu ordinaire dans cette fibre spéciale.
Algebraic groups with a distinguished conjugacy class.
Algebraic monoids with a dense group of units.
Algebraic monoids with group kernels.
Algebraic zip data.
Algèbres de Clifford symplectiques et revêtements spinoriels du groupe symplectique
Algèbres de Hecke et induites de représentations cuspidales, pour GL (N).
Algorithmic orbit classification for some Borel group actions
An Addition Theorem for Some q-Hahn Polynomials.
An alternative proof of Scheiderer's theorem on the Hasse principle for principal homogeneous spaces.
An implementation of the Neumann-Praeger algorithm for the recognition of special linear groups.