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arXiv:1103.4580 [math.RT]AbstractReferencesReviewsResources

Ringel duality and derivatives of non-additive functors

Antoine Touzé

Published 2011-03-23, updated 2013-02-18Version 4

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.

Comments: 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)
Categories: math.RT, math.AT
Subjects: 18G55, 20G05, 20G10
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