The tree representation of \(\Sigma_{n+1}\)

DOI10.1016/0022-4049(95)00116-6zbMath0865.55010OpenAlexW2034862059MaRDI QIDQ1921368

Sarah Whitehouse, C. Alan Robinson

Publication date: 7 July 1997

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

Full work available at URL: https://doi.org/10.1016/0022-4049(95)00116-6

zbMATH Keywords

characterrepresentationhomotopy type\(n\)-trees

Mathematics Subject Classification ID

Representations of finite symmetric groups (20C30) Identities, free Lie (super)algebras (17B01) Homotopy theory (55P99)

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Cites Work

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• On the action of the symmetric group on the cohomology of the complement of its reflecting hyperplanes
• Homology stability for \(GL_n\) of a Dedekind domain
• The fixed-point partition lattices
• Some aspects of groups acting on finite posets
• The homology of iterated loop spaces
• Otter's method and the homology of homeomorphically irreducible \(k\)-trees
• The Free Lie Ring and Lie Representations of the Full Linear Group