Götz Pfeiffer and Gerhard Röhrle,

Special Involutions and Bulky Parabolic Subgroups in Finite Coxeter Groups.

J. Aust. Math. Soc., 79 (2005), 141-147. arXiv:math.GR/0406014.

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.

Available as DVI file (25 kB), as pdf file (164 kB) and as compressed PostScript (142 kB) file.