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dc.contributor.author
Heckenberger, I.
dc.contributor.author
Lochmann, A.
dc.contributor.author
Vendramin, Claudio Leandro
dc.date.available
2018-09-13T20:55:27Z
dc.date.issued
2015-12
dc.identifier.citation
Heckenberger, I.; Lochmann, A.; Vendramin, Claudio Leandro; Nichols algebras with many cubic relations; American Mathematical Society; Transactions Of The American Mathematical Society; 367; 9; 12-2015; 6315-6356
dc.identifier.issn
0002-9947
dc.identifier.uri
http://hdl.handle.net/11336/59632
dc.description.abstract
Nichols algebras of group type with many cubic relations are classified under a technical assumption on the structure of Hurwitz orbits of the third power of the underlying indecomposable rack. All such Nichols algebras are finite-dimensional, and their Hilbert series have a factorization into quantum integers. Also, all known finite-dimensional elementary Nichols algebras turn out to have many cubic relations. The technical assumption of our theorem can be removed if a conjecture in the theory of cellular automata can be proven.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
American Mathematical Society
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
Nichols Algebras
dc.subject
Hurwitz Orbits
dc.subject
Braid Group
dc.subject
Cellular Automata
dc.subject.classification
Matemática Pura
dc.subject.classification
Matemáticas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
Nichols algebras with many cubic relations
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2018-09-13T13:12:42Z
dc.journal.volume
367
dc.journal.number
9
dc.journal.pagination
6315-6356
dc.journal.pais
Estados Unidos
dc.description.fil
Fil: Heckenberger, I.. Philipps Universität Marburg; Alemania
dc.description.fil
Fil: Lochmann, A.. Philipps Universität Marburg; Alemania
dc.description.fil
Fil: Vendramin, Claudio Leandro. Philipps Universität Marburg; Alemania. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
dc.journal.title
Transactions Of The American Mathematical Society
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/http://arxiv.org/abs/1212.4330
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1090/S0002-9947-2015-06231-X
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/http://www.ams.org/journals/tran/2015-367-09/S0002-9947-2015-06231-X/
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