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A characterization of a special ordering in a root system


Author: Paolo Papi
Journal: Proc. Amer. Math. Soc. 120 (1994), 661-665
MSC: Primary 20F55
DOI: https://doi.org/10.1090/S0002-9939-1994-1169886-7
MathSciNet review: 1169886
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Abstract: We give necessary and sufficient conditions for an ordering of a set of positive roots in a root system $ R$ to be associated to a reduced expression of an element of the Weyl group of $ R$. Finally we characterize the sets of positive roots which can be given such an ordering.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1994-1169886-7
Keywords: Ordering, root system, Coxeter group, Weyl group
Article copyright: © Copyright 1994 American Mathematical Society

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