A general commutative descent algebra. II: The case \(C_ n\)

DOI10.1006/jabr.1995.1224zbMath0832.20061OpenAlexW136375307MaRDI QIDQ1897806

Paola Cellini

Publication date: 22 February 1996

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

Full work available at URL: https://doi.org/10.1006/jabr.1995.1224

zbMATH Keywords

Weyl groupscommutative algebrasorthogonal idempotentscommutative semisimple descent algebrasfull descent algebras

Mathematics Subject Classification ID

Representations of finite symmetric groups (20C30) Group rings (16S34) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60)

Related Items (7)

Descent generating polynomials and the Hermite-Biehler theorem ⋮ Enriched \(P\)-partitions and peak algebras ⋮ Applications of the Brauer complex: card shuffling, permutation statistics, and dynamical systems ⋮ Eulerian representations for real reflection groups ⋮ Affine descents and the Steinberg torus ⋮ Affine shuffles, shuffles with cuts, the Whitehouse module, and patience sorting ⋮ Cyclic descents and \(P\)-partitions.

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