Left regular bands of groups and the Mantaci-Reutenauer algebra

DOI10.1016/J.JALGEBRA.2023.07.037MaRDI QIDQ6565645

Jose Bastidas, Sarah Brauner, Franco Saliola

Publication date: 2 July 2024

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

zbMATH Keywords

idempotentssemigroupmonoidrepresentation theory of finite groupscharacter theoryleft-regular bandSolomon's descent algebraMantaci-Reutenauer algebra

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) General structure theory for semigroups (20M10) Group actions on combinatorial structures (05E18) Connections of Hopf algebras with combinatorics (16T30)

Cites Work

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• Bands of Semigroups
• Invariant theory for the free left-regular band and a \(q\)-analogue
• Extensions of theorems of Gaschütz, Žmud\('\) and Rhodes on faithful representations

Related Items (1)

Topology and monoid representations. II: Left regular bands of groups and Hsiao's monoid of ordered \(G\)-partitions.

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