On the double of the (restricted) super Jordan plane in odd characteristic

Autores
Andruskiewitsch, Nicolas; Peña Pollastri, Héctor Martín
Año de publicación
2022
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
In this paper we consider the super Jordan plane, a braided Hopf algebra introduced--to the best of our knowledge--in [AAH1], and its restricted version in odd characteristic introduced in [AAH2]. We show that their Drinfeld doubles give rise naturally to Hopf superalgebras justifying a posteriori the adjective super given in loc. cit. These Hopf superalgebras are extensions of super commutative ones by the enveloping, respectively restricted enveloping, algebra of osp(1|2).
Fil: Andruskiewitsch, Nicolas. 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
Fil: Peña Pollastri, Héctor Martín. 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
Materia
Hopf algebras
Jordan plane
Lie superalgebras
Positive characteristic
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/267548
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/267548
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling On the double of the (restricted) super Jordan plane in odd characteristicAndruskiewitsch, NicolasPeña Pollastri, Héctor MartínHopf algebrasJordan planeLie superalgebrasPositive characteristichttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1In this paper we consider the super Jordan plane, a braided Hopf algebra introduced--to the best of our knowledge--in [AAH1], and its restricted version in odd characteristic introduced in [AAH2]. We show that their Drinfeld doubles give rise naturally to Hopf superalgebras justifying a posteriori the adjective super given in loc. cit. These Hopf superalgebras are extensions of super commutative ones by the enveloping, respectively restricted enveloping, algebra of osp(1|2).Fil: Andruskiewitsch, Nicolas. 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; ArgentinaFil: Peña Pollastri, Héctor Martín. 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; ArgentinaState University of New York at Albany2022-10info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/267548Andruskiewitsch, Nicolas; Peña Pollastri, Héctor Martín; On the double of the (restricted) super Jordan plane in odd characteristic; State University of New York at Albany; New York Journal of Mathematics; 28; 10-2022; 1596-16221076-9803CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/http://nyjm.albany.edu/j/2022/28-70.htmlinfo:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:31:31Zoai:ri.conicet.gov.ar:11336/267548instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-29 10:31:31.689CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv On the double of the (restricted) super Jordan plane in odd characteristic
title On the double of the (restricted) super Jordan plane in odd characteristic
spellingShingle On the double of the (restricted) super Jordan plane in odd characteristic
Andruskiewitsch, Nicolas
Hopf algebras
Jordan plane
Lie superalgebras
Positive characteristic
title_short On the double of the (restricted) super Jordan plane in odd characteristic
title_full On the double of the (restricted) super Jordan plane in odd characteristic
title_fullStr On the double of the (restricted) super Jordan plane in odd characteristic
title_full_unstemmed On the double of the (restricted) super Jordan plane in odd characteristic
title_sort On the double of the (restricted) super Jordan plane in odd characteristic
dc.creator.none.fl_str_mv Andruskiewitsch, Nicolas
Peña Pollastri, Héctor Martín
author Andruskiewitsch, Nicolas
author_facet Andruskiewitsch, Nicolas
Peña Pollastri, Héctor Martín
author_role author
author2 Peña Pollastri, Héctor Martín
author2_role author
dc.subject.none.fl_str_mv Hopf algebras
Jordan plane
Lie superalgebras
Positive characteristic
topic Hopf algebras
Jordan plane
Lie superalgebras
Positive characteristic
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv In this paper we consider the super Jordan plane, a braided Hopf algebra introduced--to the best of our knowledge--in [AAH1], and its restricted version in odd characteristic introduced in [AAH2]. We show that their Drinfeld doubles give rise naturally to Hopf superalgebras justifying a posteriori the adjective super given in loc. cit. These Hopf superalgebras are extensions of super commutative ones by the enveloping, respectively restricted enveloping, algebra of osp(1|2).
Fil: Andruskiewitsch, Nicolas. 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
Fil: Peña Pollastri, Héctor Martín. 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
description In this paper we consider the super Jordan plane, a braided Hopf algebra introduced--to the best of our knowledge--in [AAH1], and its restricted version in odd characteristic introduced in [AAH2]. We show that their Drinfeld doubles give rise naturally to Hopf superalgebras justifying a posteriori the adjective super given in loc. cit. These Hopf superalgebras are extensions of super commutative ones by the enveloping, respectively restricted enveloping, algebra of osp(1|2).
publishDate 2022
dc.date.none.fl_str_mv 2022-10
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/267548
Andruskiewitsch, Nicolas; Peña Pollastri, Héctor Martín; On the double of the (restricted) super Jordan plane in odd characteristic; State University of New York at Albany; New York Journal of Mathematics; 28; 10-2022; 1596-1622
1076-9803
CONICET Digital
CONICET
url http://hdl.handle.net/11336/267548
identifier_str_mv Andruskiewitsch, Nicolas; Peña Pollastri, Héctor Martín; On the double of the (restricted) super Jordan plane in odd characteristic; State University of New York at Albany; New York Journal of Mathematics; 28; 10-2022; 1596-1622
1076-9803
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/http://nyjm.albany.edu/j/2022/28-70.html
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv State University of New York at Albany
publisher.none.fl_str_mv State University of New York at Albany
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
_version_ 1844614325814165504
score 13.070432

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