4 papers
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…
Note on the linearisation of finite abelian groups
Aurélien Djament
If is a field with enough roots of unity and an abelian group, the -algebra of the group is split semisimple, so that the canonical morphism $K[V]\to K^{V^\sh…
Homology of strict polynomial functors over Fp-linear additive categories
Aurélien Djament, Antoine Touzé
We generalize the strong comparison theorem of Franjou, Friedlander, Scorichenko and Suslin to the setting of Fp-linear additive categories. Our results have a strong impact in ter…