Properties of the descent algebras of type \(D\).

DOI10.1016/S0012-365X(03)00061-XzbMath1049.20022arXiv0706.2910MaRDI QIDQ1402091

Stephanie Van Willigenburg

Publication date: 19 August 2003

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

Full work available at URL: https://arxiv.org/abs/0706.2910

zbMATH Keywords

Weyl groupsgroup algebrasCoxeter groupsdescent algebras of type \(D\)

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Reflection and Coxeter groups (group-theoretic aspects) (20F55)

Cites Work

• Unnamed Item
• A decomposition of the descent algebra of a finite Coxeter group
• A decomposition of Solomon's descent algebra
• A decomposition of the descent algebra of the hyperoctahedral group. I, II
• A Mackey formula in the group of a Coxeter group. With an appendix by J. Tits: Two properties of Coxeter complexes
• A proof of Solomon's rule
• A multiplication rule for the descent algebra of type \(D\)
• Hopf algebra of the planar binary trees
• The \(p\)-modular descent algebras.
• Noncommutative symmetric functions
• The decomposition of Hochschild cohomology and Gerstenhaber operations
• On posets and Hopf algebras
• Descents, quasi-symmetric functions, Robinson-Schensted for posets, and the chromatic symmetric function
• Descent algebras, hyperplane arrangements, and shuffling cards
• The p -Modular Descent Algebra of the Symmetric Group
• Enriched 𝑃-Partitions

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