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dc.contributor.author
Heckenberger, István
dc.contributor.author
Vendramin, Claudio Leandro
dc.date.available
2018-08-14T18:17:49Z
dc.date.issued
2017-02
dc.identifier.citation
Heckenberger, István; Vendramin, Claudio Leandro; A classification of Nichols algebras of semisimple Yetter-Drinfeld modules over non-abelian groups; European Mathematical Society; Journal of the European Mathematical Society; 19; 2; 2-2017; 299-356
dc.identifier.issn
1435-9855
dc.identifier.uri
http://hdl.handle.net/11336/55447
dc.description.abstract
Over fields of arbitrary characteristic we classify all braid-indecomposable tuples of at least two absolutely simple Yetter-Drinfeld modules over non-abelian groups such that the group is generated by the support of the tuple and the Nichols algebra of the tuple is finite-dimensional. Such tuples are classified in terms of analogs of Dynkin diagrams which encode much information about the Yetter-Drinfeld modules. We also compute the dimensions of these finite-dimensional Nichols algebras. Our proof uses essentially theWeyl groupoid of a tuple of simple Yetter-Drinfeld modules and our previous result on pairs.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
European Mathematical Society
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
Hopf Algebra
dc.subject
Nichols Algebra
dc.subject
Weyl Groupoid
dc.subject.classification
Matemática Pura
dc.subject.classification
Matemáticas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
A classification of Nichols algebras of semisimple Yetter-Drinfeld modules over non-abelian groups
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2018-08-14T13:57:45Z
dc.journal.volume
19
dc.journal.number
2
dc.journal.pagination
299-356
dc.journal.pais
Suiza
dc.journal.ciudad
Zürich
dc.description.fil
Fil: Heckenberger, István. Philipps Universitat Marburg; Alemania
dc.description.fil
Fil: Vendramin, Claudio Leandro. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina
dc.journal.title
Journal of the European Mathematical Society
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/https://dx.doi.org/10.4171/JEMS/667
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/http://www.ems-ph.org/journals/show_abstract.php?issn=1435-9855&vol=19&iss=2&rank=1
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