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On regularity of finite reflection groups

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Abstract:

We define a concept of “regularity” for finite unitary reflection groups, and show that an irreducible finite unitary reflection group of rank greater than 1 is regular if and only if it is a Coxeter group. Hence we get a characterization of Coxeter groups among all the irreducible finite reflection groups of rank greater than one.

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Authors and Affiliations

  1. School of Mathematics and Statistics, University of Sydney,¶NSW 2006, Australia, , , , , , AU

    R. B. Howlett & Jian-yi Shi

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  1. R. B. Howlett
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  2. Jian-yi Shi
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Received: 10 September 1999 / Revised version: 19 February 2000

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Howlett, R., Shi, Jy. On regularity of finite reflection groups. manuscripta math. 102, 325–333 (2000). https://doi.org/10.1007/s002291020325

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  • DOI: https://doi.org/10.1007/s002291020325

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