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

Simple item page
dc.creatorHsiao, Samuel K.
dc.date2007-10-10
dc.date2007-10-15
dc.date.accessioned2026-07-07T08:35:54Z
dc.date.available2026-07-07T08:35:54Z
dc.descriptionThere is a well-known combinatorial definition, based on ordered set partitions, of the semigroup of faces of the braid arrangement. We generalize this definition to obtain a semigroup Sigma_n^G associated with G wr S_n, the wreath product of the symmetric group S_n with an arbitrary group G. Techniques of Bidigare and Brown are adapted to construct an anti-homomorphism from the S_n-invariant subalgebra of the semigroup algebra of Sigma_n^G into the group algebra of G wr S_n. The generalized descent algebras of Mantaci and Reutenauer are obtained as homomorphic images when G is abelian.
dc.description6 pages, added a reference and updated the Introduction
dc.identifierhttps://arxiv.org/abs/0710.2081
dc.identifierhttp://arxiv.org/abs/0710.2081
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/139895
dc.subjectRings and Algebras
dc.subjectCombinatorics
dc.subject05E99; 16S34; 20M25
dc.titleA semigroup approach to wreath-product extensions of Solomon's descent algebras
dc.typetext

Files

Collections

arXiv