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dc.contributor.author
Heckenberger, I.
dc.contributor.author
Vendramin, Claudio Leandro
dc.date.available
2018-09-17T16:52:31Z
dc.date.issued
2015-01
dc.identifier.citation
Heckenberger, I.; Vendramin, Claudio Leandro; Nichols algebras over groups with finite root system of rank two III; Academic Press Inc Elsevier Science; Journal of Algebra; 422; 1-2015; 223-256
dc.identifier.issn
0021-8693
dc.identifier.uri
http://hdl.handle.net/11336/59874
dc.description.abstract
We compute the finite-dimensional Nichols algebras over the sum of two simple Yetter-Drinfeld modules V and W over non-abelian epimorphic images of a certain central extension of the dihedral group of eight elements or SL(2, 3), and such that the Weyl groupoid of the pair (V, W) is finite. These central extensions appear in the classification of non-elementary finite-dimensional Nichols algebras with finite Weyl groupoid of rank two. We deduce new information on the structure of primitive elements of finite-dimensional Nichols algebras over groups.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Academic Press Inc Elsevier Science
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
dc.subject
Hopf Algebras
dc.subject
Nichols Algebras
dc.subject
Weyl Groupoids
dc.subject.classification
Matemática Pura
dc.subject.classification
Matemáticas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
Nichols algebras over groups with finite root system of rank two III
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2018-09-13T13:12:40Z
dc.journal.volume
422
dc.journal.pagination
223-256
dc.journal.pais
Estados Unidos
dc.description.fil
Fil: Heckenberger, I.. Philipps-Universität Marburg; Alemania
dc.description.fil
Fil: Vendramin, Claudio Leandro. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
dc.journal.title
Journal of Algebra
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1016/j.jalgebra.2014.09.013
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0021869314005201
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