Generalized descent algebras
Combinatorics
2007-05-23 v1 Group Theory
Abstract
If is a subset of the set of reflections of a finite Coxeter group , we define a sub--module of the group algebra . We provide examples where this submodule is a subalgebra. This family of subalgebras includes strictly the Solomon descent algebra and, if if of type , the Mantaci-Reutenauer algebra.
Cite
@article{arxiv.math/0501099,
title = {Generalized descent algebras},
author = {Cedric Bonnafe and Christophe Hohlweg},
journal= {arXiv preprint arXiv:math/0501099},
year = {2007}
}