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dc.contributor.author
García, Gastón Andrés
dc.contributor.author
Mastnak, Mitja
dc.date.available
2018-06-23T22:38:11Z
dc.date.issued
2015-01
dc.identifier.citation
García, Gastón Andrés; Mastnak, Mitja; Deformation by cocycles of pointed Hopf algebras over non-abelian groups; International Press Boston; Mathematical Research Letters; 22; 1; 1-2015; 59-92
dc.identifier.issn
1073-2780
dc.identifier.uri
http://hdl.handle.net/11336/49868
dc.description.abstract
We explore a method for explicitly constructing multiplicative 2-cocycles for bosonizations of Nichols algebras B(V ) over Hopf algebras H. These cocycles arise as liftings of H-invariant linear functionals on V⊗ V and give a formula for deforming braidedcommutator- Type relations. Using this construction, we show that all known finite-dimensional pointed Hopf algebras over the dihedral groups Dm with m = 4t≥12, over the symmetric group S3, and some families over S4 are cocycle deformations of bosonizations of Nichols algebras.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
International Press Boston
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
Dihedral Groups
dc.subject
2-Cocycles
dc.subject.classification
Matemática Pura
dc.subject.classification
Matemáticas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
Deformation by cocycles of pointed Hopf algebras 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
2018-03-02T14:25:05Z
dc.journal.volume
22
dc.journal.number
1
dc.journal.pagination
59-92
dc.journal.pais
Estados Unidos
dc.journal.ciudad
Boston
dc.description.fil
Fil: García, Gastón Andrés. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Matemáticas; Argentina
dc.description.fil
Fil: Mastnak, Mitja. Saint Mary’s University; Canadá
dc.journal.title
Mathematical Research Letters
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.4310/MRL.2015.v22.n1.a5
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/http://www.intlpress.com/site/pub/pages/journals/items/mrl/content/vols/0022/0001/a005/
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