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dc.contributor.author
Andruskiewitsch, Nicolas
dc.contributor.author
Peña Pollastri, Héctor Martín
dc.date.available
2023-08-22T13:18:06Z
dc.date.issued
2021-01
dc.identifier.citation
Andruskiewitsch, Nicolas; Peña Pollastri, Héctor Martín; On the restricted Jordan plane in odd characteristic; World Scientific; Journal of Algebra and its Applications; 20; 1; 1-2021; 1-26
dc.identifier.issn
0219-4988
dc.identifier.uri
http://hdl.handle.net/11336/208850
dc.description.abstract
In positive characteristic the Jordan plane covers a finite-dimensional Nichols algebra that was described by Cibils et al. and we call the restricted Jordan plane. In this paper, the characteristic is odd. The defining relations of the Drinfeld double of the restricted Jordan plane are presented and its simple modules are determined. A Hopf algebra that deserves the name of double of the Jordan plane is introduced and various quantum Frobenius maps are described. The finite-dimensional pre-Nichols algebras intermediate between the Jordan plane and its restricted version are classified. The defining relations of the graded dual of the Jordan plane are given.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
World Scientific
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
DRINFELD DOUBLE
dc.subject
HOPF ALGEBRAS
dc.subject
JORDAN PLANE
dc.subject
NICHOLS ALGEBRAS
dc.subject.classification
Matemática Pura
dc.subject.classification
Matemáticas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
On the restricted Jordan plane in odd characteristic
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2023-08-16T11:12:18Z
dc.journal.volume
20
dc.journal.number
1
dc.journal.pagination
1-26
dc.journal.pais
Singapur
dc.description.fil
Fil: Andruskiewitsch, Nicolas. Universidad Nacional de Córdoba; 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: Peña Pollastri, Héctor Martín. Universidad Nacional de Córdoba; 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.journal.title
Journal of Algebra and its Applications
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://www.worldscientific.com/doi/epdf/10.1142/S0219498821400120
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1142/S0219498821400120
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