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dc.contributor.author
Angiono, Iván Ezequiel
dc.date.available
2017-01-13T20:51:36Z
dc.date.issued
2013-11
dc.identifier.citation
Angiono, Iván Ezequiel; On Nichols algebras of diagonal type; de Gruyter; Journal Fur Die Reine Und Angewandte Mathematik; 683; 11-2013; 189-251
dc.identifier.issn
0075-4102
dc.identifier.uri
http://hdl.handle.net/11336/11345
dc.description.abstract
We give an explicit and essentially minimal list of defining relations of a Nichols algebra of diagonal type with finite root system. This list contains the well-known quantum Serre relations but also many new variations. A conjecture by Andruskiewitsch and Schneider states that any finite-dimensional pointed Hopf algebra over an algebraically closed field of characteristic zero is generated as an algebra by its group-like and skew-primitive elements. As an application of our main result, we prove the conjecture when the group of group-like elements is abelian.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
de Gruyter
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
Hopf Algebras
dc.subject
Nichols Algebras
dc.subject.classification
Matemática Pura
dc.subject.classification
Matemáticas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
On Nichols algebras of diagonal type
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2016-11-25T14:00:11Z
dc.journal.volume
683
dc.journal.pagination
189-251
dc.journal.pais
Alemania
dc.journal.ciudad
Berlín
dc.description.fil
Fil: Angiono, Iván Ezequiel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Córdoba. Centro de Investigación y Estudios de Matemática de Córdoba(p); Argentina
dc.journal.title
Journal Fur Die Reine Und Angewandte Mathematik
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1104.0268
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://www.degruyter.com/view/j/crelle.2013.2013.issue-683/crelle-2011-0008/crelle-2011-0008.xml?format=INT
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/https://doi.org/10.1515/crelle-2011-0008
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