Let F (correspondingly P) denote the abelian category of functors (strict polynomial functors
in the sense of Friedlander and Suslin) from finite dimensional vector spaces over Fp to …

Let F be a finite field of characteristic p and let F= F (F) denote the category of functors Ef+ E,
where E is the category of IF-vector spaces and Ef is the full subcategory of finite …

In recent years, there has been considerable success in computing Ext groups of modular
representations associated to the general linear group relating this problem to one of …

We study the (co) homology of a small category C with coefficients in bifunctors concentrated
on two subcategories F− 1 (2) and F− 1 (0) where F: C→{0< 1< 2} is a functor. Applying …

Let Mk be the category of algebras over a unique factorization domain k, and let ind-Affk
denote the category of pro-representable functors from Mk to the category E of sets. It is …

We study the homological algebra in the category P p of strict polynomial functors of degree
p over a field of positive characteristic p. We determine the decomposition matrix of our …

We build an explicit link between coherent functors in the sense of Auslander [Coherent
functors. Proc. Conf. Categorical Algebra (La Jolla, Calif., 1965). Springer, Berlin, pp. 189 …

INTRODUCTION Let K be a field and let Vect be the category of vector spaces over K. Let V
be the full subcategory of Vect consisting of finite dimensional vector spaces and let 0 be the …

Exact connected sequences of functors on abelian categories, for which GROTHENDIECK
[2] has introduced the term homological functors, are long familiar from algebraic topology …

Let F denote the abelian category of functors from finite-dimensional F 2-vector spaces to F 2-
vector spaces. We are concerned with the artinian conjecture, which states that the injective …