Weyl groupoids with at most three objects

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dc.creatorCuntz, M.
dc.creatorHeckenberger, I.
dc.date2008-05-13
dc.date.accessioned2026-07-07T09:38:35Z
dc.date.available2026-07-07T09:38:35Z
dc.descriptionWe adapt the generalization of root systems of the second author and H. Yamane to the terminology of category theory. We introduce Cartan schemes, associated root systems and Weyl groupoids. After some preliminary general results, we completely classify all finite Weyl groupoids with at most three objects. The classification yields that there exist infinitely many standard, but only 9 exceptional cases. Key words: Nichols algebra, reflection, root system, Weyl groupoid
dc.description31 pages
dc.identifierhttps://arxiv.org/abs/0805.1810
dc.identifierhttp://arxiv.org/abs/0805.1810
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/160860
dc.subjectGroup Theory
dc.subjectQuantum Algebra
dc.subject20F55
dc.titleWeyl groupoids with at most three objects
dc.typetext

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