The Nichols algebra of a semisimple Yetter-Drinfeld module

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dc.creatorAndruskiewitsch, N.
dc.creatorHeckenberger, I.
dc.creatorSchneider, H. -J.
dc.date2008-03-17
dc.date2009-02-04
dc.date.accessioned2026-07-07T12:37:07Z
dc.date.available2026-07-07T12:37:07Z
dc.descriptionWe study the Nichols algebra of a semisimple Yetter-Drinfeld module and introduce new invariants such as real roots. The crucial ingredient is a `reflection' in the class of such Nichols algebras. We conclude the classifications of finite-dimensional pointed Hopf algebras over S_3, and of finite-dimensional Nichols algebras over S_4. The revised version contains an extended introduction with references to recent applications, and a simplified definition of the Weyl groupoid of a semisimple Yetter-Drinfeld module. Key words: Hopf algebras, quantum groups, Weyl groupoid
dc.description54 pages
dc.identifierhttps://arxiv.org/abs/0803.2430
dc.identifierhttp://arxiv.org/abs/0803.2430
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/218329
dc.subjectQuantum Algebra
dc.subject16W30 (Primary) 81R50, 20F55 (Secondary)
dc.titleThe Nichols algebra of a semisimple Yetter-Drinfeld module
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