Special involutions and bulky parabolic subgroups in finite Coxeter groups

Götz Pfeiffer; Gerhard Röhrle

doi:10.13025/23631

Special involutions and bulky parabolic subgroups in finite Coxeter groups

Götz Pfeiffer
, Gerhard Röhrle

Mathematics

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

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
DOIs	https://doi.org/10.13025/23631 https://doi.org/10.1017/s1446788700009381
Publication status	Published - 1 Aug 2005

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10.13025/23631Licence: CC BY-NC-ND
10.1017/s1446788700009381

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title = "Special involutions and bulky parabolic subgroups in finite Coxeter groups",

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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AU - Röhrle, Gerhard

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N2 - 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.

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.

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DO - 10.13025/23631

M3 - Article

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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

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