Special involutions and bulky parabolic subgroups in finite Coxeter groups

Goetz Pfeiffer; Gerhard Roehrle

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arXiv · math/0406014

Special involutions and bulky parabolic subgroups in finite Coxeter groups

Goetz Pfeiffer·Gerhard Roehrle

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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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Goetz Pfeiffer, Gerhard Roehrle. 2004-06-01. Special involutions and bulky parabolic subgroups in finite Coxeter groups. https://arxiv.org/abs/math/0406014

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