Mathematics Department, NUI, Galway

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NUI Galway Mathematics
Preprint IRL-GLWY-2006-001 (PDF)

AROUND SOLOMON'S DESCENT ALGEBRAS

C. Bonnafé and G. Pfeiffer

Abstract

We study different problems related to Solomon's descent algebra $Σ(W)$ of a finite Coxeter group $(W,S)$ : positive elements, morphisms between descent algebras, Loewy length... One of the main result is that, if $W$ is irreducible and if the longest element is central, then the Loewy length of $Σ(W)$ is equal to $[(|S|+1)/2]$ .

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School of Mathematics, Statistics and Applied Mathematics
National University of Ireland, Galway, University Road, Galway, Ireland.
Phone: +353 (0)91 492332 (direct) , +353 (0)91 524411 x2332 (switchboard)
Fax: +353 (0)91 494542 Email: Mary.Kelly@nuigalway.ie
This page was last updated Thursday, September 25

NUI Galway Mathematics Preprint IRL-GLWY-2006-001 (PDF)

AROUND SOLOMON'S DESCENT ALGEBRAS

Abstract

NUI Galway Mathematics
Preprint IRL-GLWY-2006-001 (PDF)