Symbolic manipulation for the study of the descent algebra of finite Coxeter groups

DOI10.1016/0747-7171(92)90032-YzbMath0790.20058MaRDI QIDQ1199814

Nantel Bergeron, François Bergeron

Publication date: 16 January 1993

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

zbMATH Keywords

finite Coxeter groupssymbolic manipulationdescent algebras

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Reflection and Coxeter groups (group-theoretic aspects) (20F55)

Related Items (4)

Descent algebras, hyperplane arrangements, and shuffling cards ⋮ Spectral properties of descent algebra elements. ⋮ Orthogonal idempotents in the descent algebra of \(B_ n\) and applications ⋮ A decomposition of the descent algebra of a finite Coxeter group

Uses Software

• Maple

Cites Work

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• 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
• Homomorphisms between Solomon's descent algebras
• A Mackey formula in the group of a Coxeter group. With an appendix by J. Tits: Two properties of Coxeter complexes

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