Special involutions and bulky parabolic subgroups in finite Coxeter groups

J. Aust. Math. Soc. 79 (2005), 141-147

Special involutions and bulky parabolic subgroups in finite Coxeter groups

Götz Pfeiffer
Department of Mathematics
National University of Ireland
Galway
Ireland
goetz.pfeiffer@nuigalway.ie

and

Gerhard Röhrle
School of Mathematics
University of Birmingham
Birmingham B15 2TT
United Kingdom
ger@for.mat.bham.ac.uk

Abstract

The conjugacy classes of so-called special involutions parameterize the constituents of the action of a finite Coxeter group on the cohomology of the complement of its complexified hyperplane arrangement. In this note we give a short intrinsic characterisation of special involutions in terms of so-called bulky parabolic subgroups.

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