The homology of certain subgroups of the symmetric group with coefficients in \(\text{Lie}(n)\)

DOI10.1016/S0022-4049(97)00050-9zbMath0921.55012WikidataQ115340101 ScholiaQ115340101MaRDI QIDQ1295492

Marja Kankaanrinta, Gregory Z. Arone

Publication date: 26 September 1999

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

zbMATH Keywords

Lie algebrahomologysymmetric group

Mathematics Subject Classification ID

Classification of homotopy type (55P15) Cohomology of groups (20J06) Classifying spaces of groups and (H)-spaces in algebraic topology (55R35) Homology of classifying spaces and characteristic classes in algebraic topology (55R40)

Related Items (12)

Higher stabilization and higher Freudenthal suspension ⋮ From the sum-of-squares representation of a Boolean function to an optimal exact quantum query algorithm ⋮ Iterated bar complexes of \(E\)-infinity algebras and homology theories ⋮ The mod 2 homology of free spectral Lie algebras ⋮ Lie algebras and \(v_n\)-periodic spaces ⋮ Some calculations of \(\mathrm{Lie}(n)^{\max}\) for low \(n\) ⋮ The rank filtration and Robinson's complex ⋮ The action of Young subgroups on the partition complex ⋮ Fake wedges ⋮ The Lie module and its complexity ⋮ On the odd primary homology of free algebras over the spectral Lie operad ⋮ Derivatives of embedding functors I: the stable case

Cites Work

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• Some aspects of groups acting on finite posets
• Calculus. II: Analytic functors
• The homology of iterated loop spaces
• The Goodwillie tower of the identity functor and the unstable periodic homotopy of spheres
• Calculus. III: Taylor series
• Calculus. I: The first derivative of pseudoisotopy theory
• The Derivatives of Homotopy Theory

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