Special involutions and bulky parabolic subgroups in finite coxeter groups
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2005-08-01Author
Pfeiffer, Götz
Röhrle, Gerhard
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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.