Special involutions and bulky parabolic subgroups in finite Coxeter groups

2004/06/01 by Goetz Pfeiffer, Gerhard Roehrle, Pfeiffer, Goetz +1
Mathematics · #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #Algebraic structures and combinatorial models #math.GR #msc:20F55

paper · pdf · doi:10.48550/arxiv.math/0406014

6 pages

arxiv created 2004/06/01 · arxiv updated 2009/12/01

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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