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Special involutions and bulky parabolic subgroups in finite coxeter groups

Pfeiffer, Götz
; 
Röhrle, Gerhard
Repository DOI
Publication Date
2005-08-01
Keywords
hyperplane complements, weyl groups, normalizers
Type
Article
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Citation
Pfeiffer, Götz; Röhrle, Gerhard (2005). Special involutions and bulky parabolic subgroups in finite coxeter groups. Journal of the Australian Mathematical Society 79 , 141-147
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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Publisher
Cambridge University Press (CUP)
Publisher DOI
10.1017/s1446788700009381
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Attribution-NonCommercial-NoDerivs 3.0 Ireland
cbn
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Externally hosted open access publications with University of Galway authors (1)