A Poset Connected to Artin Monoids of Simply Laced Type

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dc.creatorCohen, A. M.
dc.creatorGijsbers, D. A. H.
dc.creatorWales, D. B.
dc.date2005-02-24
dc.date.accessioned2026-07-07T05:17:26Z
dc.date.available2026-07-07T05:17:26Z
dc.descriptionLet W be a Weyl group whose type is a simply laced Dynkin diagram. On several W-orbits of sets of mutually commuting reflections, a poset is described which plays a role in linear representatons of the corresponding Artin group A. The poset generalizes many properties of the usual order on positive roots of W given by height. In this paper, a linear representation of the positive monoid of A is defined by use of the poset.
dc.identifierhttps://arxiv.org/abs/math/0502501
dc.identifierhttp://arxiv.org/abs/math/0502501
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/74301
dc.subjectGroup Theory
dc.subjectRepresentation Theory
dc.subject20F36 (Primary), 16G10(Secondary)
dc.titleA Poset Connected to Artin Monoids of Simply Laced Type
dc.typetext

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