Root systems and Weyl groupoids for Nichols algebras

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dc.creatorHeckenberger, I.
dc.creatorSchneider, H. -J.
dc.date2008-07-04
dc.date.accessioned2026-07-07T09:48:36Z
dc.date.available2026-07-07T09:48:36Z
dc.descriptionMotivated by work of Kac and Lusztig, we define a root system and a Weyl groupoid for a large class of semisimple Yetter-Drinfeld modules over an arbitrary Hopf algebra. The obtained combinatorial structure fits perfectly into an existing framework of generalized root systems associated to a family of Cartan matrices, and provides novel insight into Nichols algebras. We demonstrate the power of our construction with new results on Nichols algebras over finite non-abelian simple groups and symmetric groups. Key words: Hopf algebra, quantum group, root system, Weyl group
dc.description40 pages
dc.identifierhttps://arxiv.org/abs/0807.0691
dc.identifierhttp://arxiv.org/abs/0807.0691
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/164277
dc.subjectQuantum Algebra
dc.subject17B37, 16W30, 20F55
dc.titleRoot systems and Weyl groupoids for Nichols algebras
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