Special involutions and bulky parabolic subgroups in finite Coxeter groups
Special involutions and bulky parabolic subgroups in finite Coxeter groups
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.
finite coxeter groups, special involutions, parabolic subgroups
141-147
Pfeiffer, Goetz
f6e019d0-467a-4c4d-9c9a-bae6f69885e2
Roehrle, Gerhard
85f9d4eb-d522-4a95-bde9-300e8e3e7886
August 2005
Pfeiffer, Goetz
f6e019d0-467a-4c4d-9c9a-bae6f69885e2
Roehrle, Gerhard
85f9d4eb-d522-4a95-bde9-300e8e3e7886
Pfeiffer, Goetz and Roehrle, Gerhard
(2005)
Special involutions and bulky parabolic subgroups in finite Coxeter groups.
Journal of the Australian Mathematical Society, 79 (1), .
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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Submitted date: June 2004
Published date: August 2005
Keywords:
finite coxeter groups, special involutions, parabolic subgroups
Identifiers
Local EPrints ID: 38415
URI: http://eprints.soton.ac.uk/id/eprint/38415
ISSN: 1446-7887
PURE UUID: 7d59fca2-c9c9-4c92-9388-fb60d03a6540
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Date deposited: 08 Jun 2006
Last modified: 08 Jan 2022 01:06
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Author:
Goetz Pfeiffer
Author:
Gerhard Roehrle
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