Special involutions and bulky parabolic subgroups in finite Coxeter groups

Gotz Pfeiffer

Special involutions and bulky parabolic subgroups in finite Coxeter groups

Gotz Pfeiffer

Mathematics

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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.

Original language	English (Ireland)
Number of pages	7
Journal	JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY
Volume	79
Publication status	Published - 1 Aug 2005

Authors (Note for portal: view the doc link for the full list of authors)

Authors
Pfeiffer, G,Rohrle, G

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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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AB - 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.

M3 - Article

VL - 79

JO - JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY

JF - JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY

ER -

Special involutions and bulky parabolic subgroups in finite Coxeter groups

Abstract

Authors (Note for portal: view the doc link for the full list of authors)

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