On the Serre functor in the category of strict polynomial functors

DOI10.1007/S00031-022-09772-2MaRDI QIDQ6655953

Marcin Chałupnik

Publication date: 27 December 2024

Published in: Transformation Groups (Search for Journal in Brave)

zbMATH Keywords

Serre functorstrict polynomial functorCalabi-Yau category

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.) (18A40) Ext and Tor, generalizations, Künneth formula (category-theoretic aspects) (18G15) Functor categories, comma categories (18A25)

Cites Work

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• Duality categories
• A stratification of generic representation theory and generalized Schur algebras.
• Schur functors and Schur complexes
• Cohomology of finite group schemes over a field
• Affine strict polynomial functors and formality
• Koszul duality and extensions of exponential functors
• Strict polynomial functors and coherent functors
• Poincaré duality for Ext-groups between strict polynomial functors
• Koszul, Ringel and Serre duality for strict polynomial functors.
• Troesch complexes and extensions of strict polynomial functors.
• Localization theory for triangulated categories
• Derived Kan Extension for Strict Polynomial Functors
• Cohomology of bifunctors
• Deriving DG categories

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