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Special involutions and bulky parabolic subgroups in finite Coxeter groups. (English) Zbl 1078.20042
Summary: 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:
20F55 Reflection and Coxeter groups (group-theoretic aspects)
06A07 Combinatorics of partially ordered sets
52C35 Arrangements of points, flats, hyperplanes (aspects of discrete geometry)
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