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Coxeter arrangements and Solomon's descent algebra.

Ср, 01/12/2011 - 16:01 — SomNambul
Authors: Gerhard Roehrle, J. Matthew Douglass, Goetz Pfeiffer
Subjects: Representation Theory
link: http://arxiv.org/abs/1101.2075
Abstract

We refine a conjecture by Lehrer and Solomon on the structure of the
Orlik--Solomon algebra of a finite Coxeter group $W$, related it to the descent
algebra of $W$ and prove the conjecture for symmetric groups.