Quiver Presentations for Descent Algebras of Exceptional Type.
The descent algebra of a finite Coxeter group is a basic
algebra, and as such it has a presentation as quiver with relations.
In recent work, we have developed a combinatorial framework which
allows us to systematically compute such a quiver presentation for a
Coxeter group of a given type. In this article, we use that
framework to determine quiver presentations for the descent algebras
of the Coxeter groups of exceptional or non-crystallographic type,
i.e., of type , , , , , or .
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