Troesch complexes and extensions of strict polynomial functors

zbMath1253.20047arXiv1005.3133MaRDI QIDQ2885455

Antoine Touzé

Publication date: 23 May 2012

Full work available at URL: https://arxiv.org/abs/1005.3133

zbMATH Keywords

general linear groupsextensionsspectral sequencesstrict polynomial functorsfunctor homologyrational cohomologycohomology algebrasFrobenius twistsTroesch complexes

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Spectral sequences, hypercohomology (18G40) Geometric invariant theory (14L24) Resolutions; derived functors (category-theoretic aspects) (18G10) Cohomology theory for linear algebraic groups (20G10) Functor categories, comma categories (18A25)

Related Items (7)

A construction of the universal classes for algebraic groups with the twisting spectral sequence. ⋮ Superized Troesch complexes and cohomology for strict polynomial superfunctors ⋮ Affine strict polynomial functors and formality ⋮ Additive polynomial superfunctors and cohomology ⋮ Bar complexes and extensions of classical exponential functors ⋮ Generic representation theory of finite fields in nondescribing characteristic ⋮ Connectedness of cup products for polynomial representations of \(\mathrm{GL}_n\) and applications

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