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2018 On conjugacy of abstract root bases of root systems of Coxeter groups
Matthew Dyer
Rocky Mountain J. Math. 48(7): 2223-2287 (2018). DOI: 10.1216/RMJ-2018-48-7-2223

Abstract

We introduce and study a combinatorially defined notion of the root basis of a (real) root system of a possibly infinite Coxeter group. Known results on conjugacy up to sign of root bases of certain irreducible finite rank real root systems are extended to abstract root bases, to a larger class of real root systems and, with a short list of (genuine) exceptions, to infinite rank irreducible Coxeter systems.

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Matthew Dyer. "On conjugacy of abstract root bases of root systems of Coxeter groups." Rocky Mountain J. Math. 48 (7) 2223 - 2287, 2018. https://doi.org/10.1216/RMJ-2018-48-7-2223

Information

Published: 2018
First available in Project Euclid: 14 December 2018

zbMATH: 06999262
MathSciNet: MR3892132
Digital Object Identifier: 10.1216/RMJ-2018-48-7-2223

Subjects:
Primary: 20F55
Secondary: 17B22

Rights: Copyright © 2018 Rocky Mountain Mathematics Consortium

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Vol.48 • No. 7 • 2018
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