4 papers
The universal property of strict polynomial functors
Antoine Touzé
In characteristic zero, the category of strict polynomial functors is well-known to be the tensor abelian category freely generated by one object. We show that this property fails…
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…
On formality of diagrams of Eilenberg-MacLane spaces
Grigory Solomadin, Antoine Touzé
In this paper, we establish formality (over ) for diagrams of Eilenberg-MacLane spaces of any height . This implies spectral sequence (over ) colla…
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…