Nichols algebras over groups with finite root system of rank two II

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dc.conicet.fuenteindividual
dc.conicet.organizacion Philipps Universität Marburg
dc.conicet.organizacion Philipps Universität Marburg
dc.conicet.organizacionConsejo Nacional de Investigaciones Científicas y Técnicas
dc.conicet.paisOrganizacionAlemania
dc.conicet.paisOrganizacionAlemania
dc.conicet.paisOrganizacionArgentina
dc.conicet.produccionid5117222
dc.contributor.authorHeckenberger, István
dc.contributor.authorVendramin, Claudio Leandro
dc.date.accessioned2018-01-12T17:38:41Z
dc.date.available2018-01-12T17:38:41Z
dc.date.issued2014-05
dc.date.updated2018-01-11T19:36:11Z
dc.description.abstractWe classify all non-abelian groups G for which there exists a pair (V,W) of absolutely simple Yetter–Drinfeld modules over G such that the Nichols algebra of the direct sum of V and W is finite-dimensional, under two assumptions: the square of the braiding between V and W is not the identity, and G is generated by the support of V and W. As a corollary, we prove that the dimensions of such V and W are at most six. As a tool we use the Weyl groupoid of (V,W).es
dc.description.filFil: Heckenberger, István. Philipps Universität Marburg; Alemania
dc.description.filFil: Vendramin, Claudio Leandro. Philipps Universität Marburg; Alemania. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
dc.formatapplication/pdfes
dc.identifier.citationHeckenberger, István; Vendramin, Claudio Leandro; Nichols algebras over groups with finite root system of rank two II; De Gruyter; Journal Of Group Theory; 17; 6; 5-2014; 1009-1034es
dc.identifier.eissn1435-4446es
dc.identifier.institucionalCONICET
dc.identifier.issn1433-5883es
dc.identifier.repoCONICET Digital
dc.identifier.urihttp://hdl.handle.net/11336/33077
dc.journal.ciudadBerlines
dc.journal.number6es
dc.journal.pagination1009-1034es
dc.journal.paisAlemaniaes
dc.journal.titleJournal Of Group Theoryes
dc.journal.volume17es
dc.language.isoenges
dc.publisherDe Gruyteres
dc.relation.alternativeidinfo:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1515/jgth-2014-0024
dc.relation.alternativeidinfo:eu-repo/semantics/altIdentifier/url/https://www.degruyter.com/view/j/jgth.ahead-of-print/jgth-2014-0024/jgth-2014-0024.xml
dc.rightsinfo:eu-repo/semantics/openAccess*
dc.rights.urihttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/*
dc.subjectNichols Algebrases
dc.subjectWeyl Groupoidses
dc.subjectRoot Systemses
dc.subjectHopf Algebrases
dc.subject.classificationMatemática Puraes
dc.subject.classificationMatemáticases
dc.subject.classificationCIENCIAS NATURALES Y EXACTASes
dc.titleNichols algebras over groups with finite root system of rank two IIes
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:ar-repo/semantics/artículo
dc.typeinfo:eu-repo/semantics/publishedVersion

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