We give a necessary and sufficient condition for an ordering of a set of positive roots in a root system R to be associated to a reduced expression of a reduced expression of an element of the Weyl group of R. Finally we characterize the sets of positive roots which can be gives such and ordering

A characterization of a special ordering in a root system / Papi, Paolo. - In: PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY. - ISSN 0002-9939. - STAMPA. - 120:(1994), pp. 661-665. [10.1090/S0002-9939-1994-1169886-7]

A characterization of a special ordering in a root system

PAPI, Paolo
1994

Abstract

We give a necessary and sufficient condition for an ordering of a set of positive roots in a root system R to be associated to a reduced expression of a reduced expression of an element of the Weyl group of R. Finally we characterize the sets of positive roots which can be gives such and ordering
ordering, root system, Coxeter group, Weyl group
01 Pubblicazione su rivista::01a Articolo in rivista
A characterization of a special ordering in a root system / Papi, Paolo. - In: PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY. - ISSN 0002-9939. - STAMPA. - 120:(1994), pp. 661-665. [10.1090/S0002-9939-1994-1169886-7]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/47362
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