A semigroup approach to wreath-product extensions of Solomon's descent algebras.

zbMath1209.20008arXiv0710.2081MaRDI QIDQ1010925

Samuel K. Hsiao

Publication date: 7 April 2009

Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0710.2081

zbMATH Keywords

group algebrassymmetric groupsinvariant algebraswreath productssemigroup algebrascolored descent algebras

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Combinatorial aspects of representation theory (05E10) Representations of finite symmetric groups (20C30) Group rings (16S34) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Semigroup rings, multiplicative semigroups of rings (20M25)

Related Items (4)

The quiver of an algebra associated to the Mantaci-Reutenauer descent algebra and the homology of regular semigroups. ⋮ Hopf algebra structure of generalized quasi-symmetric functions in partially commutative variables ⋮ Simplicity of augmentation submodules for transformation monoids ⋮ On the quiver presentation of the descent algebra of the hyperoctahedral group.

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