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Special involutions and bulky parabolic subgroups in finite Coxeter groups

  • Götz Pfeiffer (a1) and Gerhard Röhrle (a2)
Abstract
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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References
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[1]Bourbaki N., Groupes et algèbres de Lie. Chapitres IV–VI (Hermann, Paris, 1968).
[2]Brink B. and Howlett R. B., ‘Normalizers of parabolic subgroups in Coxeter groups’, Invent. Math. 136 (1999), 323351.
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Journal of the Australian Mathematical Society
  • ISSN: 1446-7887
  • EISSN: 1446-8107
  • URL: /core/journals/journal-of-the-australian-mathematical-society
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