Generalized descent algebras

Details Generalized descent algebras Generalized descent algebras

2005-01-07

arxiv.org/abs/math/0501099v1

Mathematics

Combinatorics

Scientific paper

If $A$ is a subset of the set of reflections of a finite Coxeter group $W$,
we define a sub-${\mathbb{Z}}$-module ${\mathcal{D}}_A(W)$ of the group algebra
${\mathbb{Z}} W$. We provide examples where this submodule is a subalgebra.
This family of subalgebras includes strictly the Solomon descent algebra and,
if $W$ if of type $B$, the Mantaci-Reutenauer algebra.

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