4 citations · 6 across the 5 of their papers we have counts for
6 papers
Generic representations of finite general linear groups in cross characteristic
Aurélien Djament, Thomas Gaujal
We study generic representations of general linear groups over a finite ring R with coefficients in a field k in which the cardinality of R is invertible, that is functors from fin…
Functor homology over an additive category
Aurélien Djament, Antoine Touzé
We uncover several general phenomenas governing functor homology over additive categories. In particular, we generalize the strong comparison theorem of Franjou Friedlander Scorich…
Homological finiteness of functors on an additive category and applications
Aurélien Djament, Antoine Touzé
We give sufficient conditions which ensure that a functor of finite length from an additive category to finite-dimensional vector spaces has a projective resolution whose terms are…
Décompositions à la Steinberg sur une catégorie additive
Aurélien Djament, Antoine Touzé, Christine Vespa
We give a description of simple functors taking finitely generated values, from a small additive category to the category of vector spaces over a field. This result is analogous to…
On stable homology of congruence groups
Aurélien Djament
We show in this work that homology in degree d of a congruence group, in a very general framework, defines a weakly polynomial functor of degree at most 2d and we describe this fun…
Weakly polynomial functors
Aurélien Djament, Christine Vespa
We introduce and study a general notion of polynomial functor from a small monoidal symmetric category whose unit is an initial object and give a classification result of polynomia…