An injective resolution of twisted symmetric powers. (Une résolution injective des puissances symétriques tordues.) (French) Zbl 1077.18009

Author’s abstract: The aim of this paper is to construct in the category of strict polynomial functors an explicit injective resolution of the twisted symmetric powers \(S^{*(j)}\). This generalizes to any prime characteristic the construction of Friedlander and Suslin in characteristic 2. Such results permit to comput extension groups.


18G05 Projectives and injectives (category-theoretic aspects)
18G10 Resolutions; derived functors (category-theoretic aspects)
18G35 Chain complexes (category-theoretic aspects), dg categories
55U05 Abstract complexes in algebraic topology
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