A spectral sequence for the homology of a finite algebraic delooping

DOI10.1017/is014004016jkt264zbMath1304.18033arXiv1302.0638OpenAlexW2963234455MaRDI QIDQ3191185

Stephanie Ziegenhagen, Birgit Richter

Publication date: 24 September 2014

Published in: Journal of K-theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1302.0638

zbMATH Keywords

Hochschild cohomologyAndré-Quillen homologyHodge decomposition\(E_{n}\)-homologyGrothendieck spectral sequence{\(\pi\)}-algebras

Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Spectral sequences, hypercohomology (18G40) Loop spaces (55P35)

Cites Work

• Koszul duality of \(E_{n}\)-operads
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• An interpretation of \(E _{n }\)-homology as functor homology
• A spectral sequence for the homology of an infinite delooping
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• Batalin-Vilkovisky algebras and the \(J\)-homomorphism
• The cohomology structure of an associative ring
• Higher order Hochschild cohomology
• The cohomology of restricted Lie algebras and of Hopf algebras
• On the structure of Hopf algebras
• The cohomology of classifying spaces of 𝐻-spaces
• Taylor towers for \(\Gamma\)-modules