Weyl Groups with Coxeter Presentation and Presentation by Conjugation

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dc.creatorHofmann, Georg
dc.date2006-07-22
dc.date.accessioned2026-07-07T07:39:25Z
dc.date.available2026-07-07T07:39:25Z
dc.descriptionWe investigate which Weyl groups have a Coxeter presentation and which of them at least have the presentation by conjugation with respect to their root system. For most concepts of root systems the Weyl group has both. In the context of extended affine root systems (EARS) there is a small subclass allowing a Coxeter presentation of the Weyl group and a larger subclass allowing the presentation by conjugation. We give necessary and sufficient conditions for both classes. Our results entail that every extended affine Weyl group (EAWeG) has the presentation by conjugation with respect to a suitable EARS.
dc.description23 pages
dc.identifierhttps://arxiv.org/abs/math/0607562
dc.identifierhttp://arxiv.org/abs/math/0607562
dc.identifierJournal of Lie Theory, 17 (2007)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/121442
dc.subjectGroup Theory
dc.titleWeyl Groups with Coxeter Presentation and Presentation by Conjugation
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