Bar complexes and extensions of classical exponential functors

DOI10.5802/aif.2921zbMath1329.18018arXiv1012.2724OpenAlexW2963329526MaRDI QIDQ486852

Antoine Touzé

Publication date: 16 January 2015

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1012.2724

zbMATH Keywords

exterior algebrabar constructionsymmetric algebrastrict polynomial functorsdivided power algebraexponential functors

Mathematics Subject Classification ID

Bar and cobar constructions (57T30) Ext and Tor, generalizations, Künneth formula (category-theoretic aspects) (18G15) Cohomology theory for linear algebraic groups (20G10)

Related Items (10)

Duality categories ⋮ On the Structure of Graded Commutative Exponential functors ⋮ Superized Troesch complexes and cohomology for strict polynomial superfunctors ⋮ Ringel duality and derivatives of non-additive functors ⋮ Schur algebras for the alternating group and Koszul duality ⋮ Cohomological finite-generation for finite supergroup schemes ⋮ Connectedness of cup products for polynomial representations of \(\mathrm{GL}_n\) and applications ⋮ Computations and applications of some homological constants for polynomial representations of 𝐺𝐿_{𝑛} ⋮ Relating tensor structures on representations of general linear and symmetric groups ⋮ Integral \(\mathrm{Ext}^2\) between hook Weyl modules

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