Special involutions and bulky parabolic subgroups in finite Coxeter groups

• Autores: Götz Pfeiffer, Gerhard Röhrle
• Localización: Journal of the Australian Mathematical Society, ISSN 1446-7887, Vol. 79, Nº 1, 2005, págs. 141-147
• Idioma: inglés
• DOI: 10.1017/s1446788700009381
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• Resumen

  • 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.