Examples of finite-dimensional pointed Hopf algebras in characteristic 2

Autores
Andruskiewitsch, Nicolas; Bagio, Dirceu; Flora, Saradia Della; Flôres, Daiana
Año de publicación
2020
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We present new examples of finite-dimensional Nichols algebras over fields of characteristic 2 from braided vector spaces that are not of diagonal type, admit realizations as Yetter-Drinfeld modules over finite abelian groups, and are analogous to Nichols algebras of finite Gelfand-Kirillov dimension in characteristic 0. New finite-dimensional pointed Hopf algebras over fields of characteristic 2 are obtained by bosonization with group algebras of suitable finite abelian groups.
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
Fil: Bagio, Dirceu. Universidade Federal de Santa Maria; Brasil
Fil: Flora, Saradia Della. Universidade Federal de Santa Maria; Brasil
Fil: Flôres, Daiana. Universidade Federal de Santa Maria; Brasil
Materia
16T20
17B37
2020 MATHEMATICS SUBJECT CLASSIFICATION
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:11336/146517
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/146517
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Examples of finite-dimensional pointed Hopf algebras in characteristic 2Andruskiewitsch, NicolasBagio, DirceuFlora, Saradia DellaFlôres, Daiana16T2017B372020 MATHEMATICS SUBJECT CLASSIFICATIONhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1We present new examples of finite-dimensional Nichols algebras over fields of characteristic 2 from braided vector spaces that are not of diagonal type, admit realizations as Yetter-Drinfeld modules over finite abelian groups, and are analogous to Nichols algebras of finite Gelfand-Kirillov dimension in characteristic 0. New finite-dimensional pointed Hopf algebras over fields of characteristic 2 are obtained by bosonization with group algebras of suitable finite abelian groups.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; ArgentinaFil: Bagio, Dirceu. Universidade Federal de Santa Maria; BrasilFil: Flora, Saradia Della. Universidade Federal de Santa Maria; BrasilFil: Flôres, Daiana. Universidade Federal de Santa Maria; BrasilCambridge University Press2020-12-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/146517Andruskiewitsch, Nicolas; Bagio, Dirceu; Flora, Saradia Della; Flôres, Daiana; Examples of finite-dimensional pointed Hopf algebras in characteristic 2; Cambridge University Press; Glasgow Mathematical Journal; 1-12-2020; 1-140017-08951469-509XCONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1017/S0017089520000579info:eu-repo/semantics/altIdentifier/url/https://www.cambridge.org/core/journals/glasgow-mathematical-journal/article/abs/examples-of-finitedimensional-pointed-hopf-algebras-in-characteristic-2/E02602CC7B95AE1E2A172D9B1411B6E7info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-22T11:12:42Zoai:ri.conicet.gov.ar:11336/146517instacron: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:34982025-10-22 11:12:42.431CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Examples of finite-dimensional pointed Hopf algebras in characteristic 2
title Examples of finite-dimensional pointed Hopf algebras in characteristic 2
spellingShingle Examples of finite-dimensional pointed Hopf algebras in characteristic 2
Andruskiewitsch, Nicolas
16T20
17B37
2020 MATHEMATICS SUBJECT CLASSIFICATION
title_short Examples of finite-dimensional pointed Hopf algebras in characteristic 2
title_full Examples of finite-dimensional pointed Hopf algebras in characteristic 2
title_fullStr Examples of finite-dimensional pointed Hopf algebras in characteristic 2
title_full_unstemmed Examples of finite-dimensional pointed Hopf algebras in characteristic 2
title_sort Examples of finite-dimensional pointed Hopf algebras in characteristic 2
dc.creator.none.fl_str_mv Andruskiewitsch, Nicolas
Bagio, Dirceu
Flora, Saradia Della
Flôres, Daiana
author Andruskiewitsch, Nicolas
author_facet Andruskiewitsch, Nicolas
Bagio, Dirceu
Flora, Saradia Della
Flôres, Daiana
author_role author
author2 Bagio, Dirceu
Flora, Saradia Della
Flôres, Daiana
author2_role author
author
author
dc.subject.none.fl_str_mv 16T20
17B37
2020 MATHEMATICS SUBJECT CLASSIFICATION
topic 16T20
17B37
2020 MATHEMATICS SUBJECT CLASSIFICATION
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv We present new examples of finite-dimensional Nichols algebras over fields of characteristic 2 from braided vector spaces that are not of diagonal type, admit realizations as Yetter-Drinfeld modules over finite abelian groups, and are analogous to Nichols algebras of finite Gelfand-Kirillov dimension in characteristic 0. New finite-dimensional pointed Hopf algebras over fields of characteristic 2 are obtained by bosonization with group algebras of suitable finite abelian groups.
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
Fil: Bagio, Dirceu. Universidade Federal de Santa Maria; Brasil
Fil: Flora, Saradia Della. Universidade Federal de Santa Maria; Brasil
Fil: Flôres, Daiana. Universidade Federal de Santa Maria; Brasil
description We present new examples of finite-dimensional Nichols algebras over fields of characteristic 2 from braided vector spaces that are not of diagonal type, admit realizations as Yetter-Drinfeld modules over finite abelian groups, and are analogous to Nichols algebras of finite Gelfand-Kirillov dimension in characteristic 0. New finite-dimensional pointed Hopf algebras over fields of characteristic 2 are obtained by bosonization with group algebras of suitable finite abelian groups.
publishDate 2020
dc.date.none.fl_str_mv 2020-12-01
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/11336/146517
Andruskiewitsch, Nicolas; Bagio, Dirceu; Flora, Saradia Della; Flôres, Daiana; Examples of finite-dimensional pointed Hopf algebras in characteristic 2; Cambridge University Press; Glasgow Mathematical Journal; 1-12-2020; 1-14
0017-0895
1469-509X
CONICET Digital
CONICET
url http://hdl.handle.net/11336/146517
identifier_str_mv Andruskiewitsch, Nicolas; Bagio, Dirceu; Flora, Saradia Della; Flôres, Daiana; Examples of finite-dimensional pointed Hopf algebras in characteristic 2; Cambridge University Press; Glasgow Mathematical Journal; 1-12-2020; 1-14
0017-0895
1469-509X
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1017/S0017089520000579
info:eu-repo/semantics/altIdentifier/url/https://www.cambridge.org/core/journals/glasgow-mathematical-journal/article/abs/examples-of-finitedimensional-pointed-hopf-algebras-in-characteristic-2/E02602CC7B95AE1E2A172D9B1411B6E7
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 Cambridge University Press
publisher.none.fl_str_mv Cambridge University Press
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
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score 12.982451

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