Homological Algebra in the Category of Γ-Modules

DOI10.1081/AGB-200063342zbMath1074.18004OpenAlexW2080384359MaRDI QIDQ5466665

Jakub Antosz, Stanislaw Betley

Publication date: 25 August 2005

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1081/agb-200063342

zbMATH Keywords

Schur algebrasfunctor homologyhomology of symmetric groupsKoszul and de Rham complexes

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Cohomology of groups (20J06) Ext and Tor, generalizations, Künneth formula (category-theoretic aspects) (18G15) Steenrod algebra (55S10) Functor categories, comma categories (18A25)

Cites Work

• Towards the MacLane cohomology of finite fields
• Gamma homology, Lie representations and \(E_\infty\) multiplications
• Dold-Kan type theorem for \(\Gamma\)-groups
• General linear and functor cohomology over finite fields
• Stable derived functors, the Steenrod algebra and homological algebra in the category of functors
• New approach to the groups \(H_* (\Sigma_n, \text{Lie}_n)\) by the homology theory of the category of functors
• Taylor towers for \(\Gamma\)-modules

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