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 orderingFile allegati a questo prodotto
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