Koszul duality and derivatives of non-additive functors

Details Koszul duality and derivatives of non-additive functors Koszul duality and derivatives of non-additive functors

2011-03-23

arxiv.org/abs/1103.4580v1

Mathematics

Representation Theory

43 pages. The article is self-contained (no prior knowledge of Schur algebras, strict polynomial functors or derived functors

Scientific paper

We prove that Koszul duality in the category of strict polynomial functors
can be interpreted as derived functors of non-additive functors (in the sense
of Dold and Puppe). We give applications of this fact for both theories.

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