Ringel duality and derivatives of non-additive functors

Abstract

We prove that Ringel 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.

Fourth version, 48 pages. Minor changes (typos corrected, comments and references added). The article is self-contained (no prior knowledge of Schur algebras, strict polynomial functors or derived functors of non-additive functors is required)

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