On the quiver of the descent algebra.

DOI10.1016/j.jalgebra.2008.07.009zbMath1200.20003arXiv0708.4213OpenAlexW2060831023MaRDI QIDQ959761

Franco V. Saliola

Publication date: 12 December 2008

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

Full work available at URL: https://arxiv.org/abs/0708.4213

zbMATH Keywords

finite Coxeter groupsrepresentation theory of algebrasdescent algebrasreflection arrangementsalgebras with group actions

Mathematics Subject Classification ID

Related Items (15)

Quivers of monoids with basic algebras ⋮ Cell complexes, poset topology and the representation theory of algebras arising in algebraic combinatorics and discrete geometry ⋮ Representation theory of the higher-order peak algebras ⋮ Eulerian representations for real reflection groups ⋮ The \((1-\mathbb{E})\)-transform in combinatorial Hopf algebras ⋮ The Steinberg torus of a Weyl group as a module over the Coxeter complex ⋮ A natural idempotent in the descent algebra of a finite Coxeter group ⋮ On the quiver presentation of the descent algebra of the symmetric group. ⋮ Oriented interval greedoids ⋮ The Loewy length of the descent algebra of type \(D\). ⋮ Eulerian representations for real reflection groups ⋮ Simplicity of augmentation submodules for transformation monoids ⋮ A quiver presentation for Solomon's descent algebra. ⋮ Spectra of Symmetrized Shuffling Operators ⋮ On the quiver presentation of the descent algebra of the hyperoctahedral group.

Cites Work

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• The module structure of Solomon's descent algebra
• The Face Semigroup Algebra of a Hyperplane Arrangement
• The Burnside algebra of a finite group
• Reflection groups and invariant theory

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