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math.KT2022
Sur la noeth{é}rianit{é} locale des foncteurs polynomiaux
Aurélien Djament, Antoine Touzé
Let A be a finitely-generated commutative ring and k a noetherian commutative ring. We show that, in the category of functors from finitely-generated projective A-modules to k-modu…
math.KT2014★ 8 cited
Cohomologie des foncteurs polynomiaux sur les groupes libres
Aurélien Djament, Teimuraz Pirashvili, Christine Vespa
We show that extension groups between two polynomial functors on free groups are the same in the category of all functors and in a subcategory of polynomial functors of bounded deg…
math.KT2011
Sur l'homologie des groupes unitaires à coefficients polynomiaux
Aurélien Djament
We extend the results of the author with C. Vespa (Ann. Sci. ENS 2010) to stable homology of unitary groups over an arbitrary ring twisted by a polynomial functor : we show that it…