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Special involutions and bulky parabolic subgroups in finite Coxeter groups

Part of: Special aspects of infinite or finite groups Ordered sets

Published online by Cambridge University Press:  09 April 2009

Götz Pfeiffer  and
Gerhard Röhrle
Götz Pfeiffer
Affiliation:
Department of MathematicsNational University of IrelandGalwayIreland e-mail: goetz.pfeiffer@nuigalway.ie
Gerhard Röhrle
Affiliation:
School of MathematicsUniversity of BirminghamBirmingham B15 2TTUnited Kingdom e-mail: ger@for.mat.bham.ac.uk
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Abstract

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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.

MSC classification

Secondary: 20F55: Reflection and Coxeter groups 06A07: Combinatorics of partially ordered sets
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 79 , Issue 1 , August 2005 , pp. 141 - 147
Copyright
Copyright © Australian Mathematical Society 2005

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