20 citations · 53 across the 15 of their papers we have counts for
5 papers · 1 filter
Separation and excision in functor homology
Aurélien Djament, Antoine Touzé
We prove separation and excision results in functor homology. These results explain how the global Steinberg decomposition of functors proved by Djament, Touz{é} and Vespa behaves…
The homology of additive functors in prime characteristic
Aurélien Djament, Antoine Touzé
We compute certain Ext and Tor groups in the category of all functors from an Z/p-linear additive category A to vector spaces in terms of Ext and Tor computed in the full subcatego…
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…
Cohomology of algebraic groups with coefficients in twisted representations
Antoine Touzé
This article is a survey on the cohomology of a reductive algebraic group with coefficients in twisted representations. A large part of the paper is devoted to the advances obtaine…
On the structure of graded commutative exponential funtors
Antoine Touzé
We investigate the structure of graded commutative exponential functors. We give applications of these structure results, including computations of the homology of the symmetric gr…