Complex reflection subgroups of real reflection groups
type: Item
instance of: scholarly article
title: Complex reflection subgroups of real reflection groups
zbMATH Open document ID: 0967.20024
author: J. Patrick Brewer
published in: Journal of Algebra
publication date: 2001-05-29T00:00:00Z
review text: Let \(V\) be an \(n\)-dimensional complex vector space, \(G\) an irreducible rank \(n\) complex, but not complexified, reflection group in \(V\), and \(W\) an irreducible rank \(2n\) finite real reflection group in \(_\mathbb{R} V\) such that \(G<W\) and \(W\) is minimal for \(G\). The author finds, up to isomorphism, all pairs \(G<W\).
Mathematics Subject Classification ID: 20F55
Mathematics Subject Classification ID: 20H15
Mathematics Subject Classification ID: 51F15
Mathematics Subject Classification ID: 20E07
zbMATH DE Number: 1539390
zbMATH Keywords: real reflection groups
zbMATH Keywords: complex reflection groups
reviewed by: Erich W. Ellers
MaRDI profile type: Publication
OpenAlex ID: W2049777847
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DOI: 10.1006/JABR.2000.8404
description: scientific article; zbMATH DE number 1539390