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.
Citation
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
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