Some combinatorial results for complex reflection groups
type: Item
instance of: scholarly article
title: Some combinatorial results for complex reflection groups
zbMATH Open document ID: 0933.20027
author: Himmet Can
published in: European Journal of Combinatorics
publication date: 2000-01-17T00:00:00Z
review text: The aim of this paper is to prove some results involving complex reflection groups which are useful in an application to give a combinatorial construction of representations of such a group. The results in this paper (and the approach; generalizing the Young tableau method for (generalized) symmetric groups) are the complex analogues of the results obtained by \textit{A. J. Idowu, A. O. Morris} [Math. Proc. Camb. Philos. Soc. 101, 405-420 (1987; Zbl 0656.20045)] for real crystallographic group root systems and their reflection groups (i.e. Weyl groups).
reviewed by: Wim Malfait
Mathematics Subject Classification ID: 20G05
Mathematics Subject Classification ID: 20H15
Mathematics Subject Classification ID: 51F15
Mathematics Subject Classification ID: 20F55
Mathematics Subject Classification ID: 05E15
zbMATH DE Number: 1248164
zbMATH Keywords: representations of complex reflection groups
zbMATH Keywords: root systems
zbMATH Keywords: Weyl groups
MaRDI profile type: Publication
full work available at URL: eujc.1998.0236
OpenAlex ID: W1992083722
DOI: 10.1006/EUJC.1998.0236
description: scientific article; zbMATH DE number 1248164