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dc.contributor.author
Angiono, Iván Ezequiel  
dc.contributor.author
Yamane, Hiroyuki  
dc.date.available
2018-03-26T20:56:32Z  
dc.date.issued
2015-02  
dc.identifier.citation
Angiono, Iván Ezequiel; Yamane, Hiroyuki; The R-matrix of quantum doubles of Nichols algebras of diagonal type; American Institute of Physics; Journal of Mathematical Physics; 56; 2; 2-2015; 1-19; 021702  
dc.identifier.issn
0022-2488  
dc.identifier.uri
http://hdl.handle.net/11336/40060  
dc.description.abstract
Let H be the quantum double of a Nichols algebra of diagonal type. We compute the R-matrix of 3-tuples of modules for general finite-dimensional highest weight modules over H. We also calculate a multiplicative formula for the universal R-matrix when H is finite dimensional. We show the unicity of a PBW basis (or a Lusztig-type Poincaré-Birkhoff-Witt basis) with a given convex order.  
dc.format
application/pdf  
dc.language.iso
eng  
dc.publisher
American Institute of Physics  
dc.rights
info:eu-repo/semantics/openAccess  
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/  
dc.subject
Nichols Algebra  
dc.subject
Hopf Algebras  
dc.subject
R-Matrix  
dc.subject.classification
Matemática Pura  
dc.subject.classification
Matemáticas  
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS  
dc.title
The R-matrix of quantum doubles of 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
2018-03-22T13:04:27Z  
dc.journal.volume
56  
dc.journal.number
2  
dc.journal.pagination
1-19; 021702  
dc.journal.pais
Estados Unidos  
dc.description.fil
Fil: Angiono, Iván Ezequiel. 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: Yamane, Hiroyuki. University of Toyama; Japón  
dc.journal.title
Journal of Mathematical Physics  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://aip.scitation.org/doi/10.1063/1.4907379  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1063/1.4907379  

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