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dc.contributor.author
Andruskiewitsch, Nicolas  
dc.contributor.author
Schneider, Hans Jürgen  
dc.date.available
2023-02-07T14:06:53Z  
dc.date.issued
2010-03-17  
dc.identifier.citation
Andruskiewitsch, Nicolas; Schneider, Hans Jürgen; On the classification of of finite-dimensional pointed Hopf algebras; Princeton University. Department of Mathematics; Annals Of Mathematics; 171; 1; 17-3-2010; 375-417  
dc.identifier.issn
0003-486X  
dc.identifier.uri
http://hdl.handle.net/11336/187187  
dc.description.abstract
We classify finite-dimensional complex Hopf algebras A which are pointed, that is, all of whose irreducible comodules are one-dimensional, and whose group of group-like elements G (A) is abelian such that all prime divisors of the order of G.(A) are > 7. Since these Hopf algebras turn out to be deformations of a natural class of generalized small quantum groups, our result can be read as an axiomatic description of generalized small quantum groups.  
dc.format
application/pdf  
dc.language.iso
eng  
dc.publisher
Princeton University. Department of Mathematics  
dc.rights
info:eu-repo/semantics/openAccess  
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/  
dc.subject
Pointed Hopf algebras  
dc.subject
Quantum groups  
dc.subject.classification
Otras Matemáticas  
dc.subject.classification
Matemáticas  
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS  
dc.title
On the classification of of finite-dimensional pointed Hopf algebras  
dc.type
info:eu-repo/semantics/article  
dc.type
info:ar-repo/semantics/artículo  
dc.type
info:eu-repo/semantics/publishedVersion  
dc.date.updated
2023-01-31T12:34:17Z  
dc.identifier.eissn
1939-8980  
dc.journal.volume
171  
dc.journal.number
1  
dc.journal.pagination
375-417  
dc.journal.pais
Estados Unidos  
dc.journal.ciudad
Princeton  
dc.description.fil
Fil: Andruskiewitsch, Nicolas. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Centro de Investigación y Estudios de Matemática. Universidad Nacional de Córdoba. Centro de Investigación y Estudios de Matemática; Argentina  
dc.description.fil
Fil: Schneider, Hans Jürgen. Technische Universitat München; Alemania  
dc.journal.title
Annals Of Mathematics  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://annals.math.princeton.edu/2010/171-1/p07  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://doi.org/10.4007/annals.2010.171.375  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/pdf/math/0502157.pdf  

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