Strict polynomial functors and coherent functors

DOI10.1007/S00229-008-0184-9zbMath1168.18001arXivmath/0507384OpenAlexW2060203067MaRDI QIDQ2518874

Vincent Franjou, Teimouraz Pirashvili

Publication date: 20 January 2009

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0507384

zbMATH Keywords

strict polynomial functorscoherent functorsfunctor cohomologyrecollement of abelian categories

Mathematics Subject Classification ID

Modular representations and characters (20C20) Cohomology of groups (20J06) Functor categories, comma categories (18A25) Categorical algebra (18E99)

Related Items (3)

Affine strict polynomial functors and formality ⋮ Half-exact coherent functors over Dedekind domains ⋮ Relating tensor structures on representations of general linear and symmetric groups

Cites Work

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• A stratification of generic representation theory and generalized Schur algebras.
• Coherent functors
• Towards the MacLane cohomology of finite fields
• Generic representations of the finite general linear groups and the Steenrod algebra. II
• Cohomology of finite group schemes over a field
• Colocalization on Grothendieck categories with applications to coalgebras
• Comparison of abelian categories recollements
• General linear and functor cohomology over finite fields
• Extensions of strict polynomial functors
• On three functors of m. Ausländern
• On the homotopy of simplicial algebras over an operad

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