NUI Galway Mathematics
Preprint IRL-GLWY-2008-002 (PDF)

QUIVER PRESENTATIONS FOR DESCENT ALGEBRAS OF EXCEPTIONAL TYPE

G. Pfeiffer

Abstract

The descent algebra of a finite Coxeter group W 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 E6, E7, E8, F4, H3, H4 or I2(m).

Return to the NUI Galway Mathematics Preprints