A generating set of Solomon's descent algebra

DOI10.1016/S0021-8693(03)00069-3zbMath1021.20011OpenAlexW2047814947MaRDI QIDQ1810548

Manfred Schocker

Publication date: 9 June 2003

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

Full work available at URL: https://doi.org/10.1016/s0021-8693(03)00069-3

zbMATH Keywords

symmetric groupsirreducible charactersbialgebrassymmetric polynomialsdescent algebrashook partitions

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Combinatorial aspects of representation theory (05E10) Representations of finite symmetric groups (20C30)

Cites Work

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• A decomposition of Solomon's descent algebra
• 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
• Noncommutative symmetric functions
• Duality between quasi-symmetric functions and the Solomon descent algebra
• On the descending Loewy series of Solomon's descent algebra
• Solomon's Descent Algebra Revisited
• Algebraic combinatorics related to the free Lie algebra
• A symmetry property of Solomon's algebra and of higher Lie characters

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