Hyperoctahedral decomposition of Hochschild homology

DOI10.1016/0012-365X(94)00123-ZzbMath0833.16007OpenAlexW2497677009MaRDI QIDQ1893976

Nantel Bergeron

Publication date: 11 March 1996

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0012-365x(94)00123-z

zbMATH Keywords

Hochschild homologyrational group algebrashyperoctahedral groups

Mathematics Subject Classification ID

Representations of finite symmetric groups (20C30) (Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Group rings (16S34) Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Group rings of finite groups and their modules (group-theoretic aspects) (20C05)

Cites Work

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• A decomposition of the descent algebra of a finite Coxeter group
• A decomposition of Solomon's descent algebra
• Lie elements and an algebra associated with shuffles
• The action of \(S_ n\) on the components of the Hodge decomposition of Hochschild homology
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• A hyperoctahedral analogue of the free Lie algebra
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• Orthogonal idempotents in the descent algebra of \(B_ n\) and applications
• A Mackey formula in the group of a Coxeter group. With an appendix by J. Tits: Two properties of Coxeter complexes
• Opérations sur l'homologie cyclique des algèbres commutatives. (Operations on the cyclic homology of commutative algebras)
• Hyperoctahedral operations on Hochschild homology
• Harrison homology, Hochschild homology and triples

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