On a factorization of graded Hopf algebras using Lyndon words

Autores
Graña, M.; Heckenberger, I.
Año de publicación
2007
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We find a generalization of the restricted PBW basis for pointed Hopf algebras over abelian groups constructed by Kharchenko. We obtain a factorization of the Hilbert series for a wide class of graded Hopf algebras. These factors are parametrized by Lyndon words, and they are the Hilbert series of certain graded Hopf algebras. © 2007 Elsevier Inc. All rights reserved.
Fil:Graña, M. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina.
Fuente
J. Algebra 2007;314(1):324-343
Materia
Graded Hopf algebra
Lyndon word
Nichols algebra
Nivel de accesibilidad
acceso abierto
Condiciones de uso
http://creativecommons.org/licenses/by/2.5/ar
Repositorio
Biblioteca Digital (UBA-FCEN)
Institución
Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturales
OAI Identificador
paperaa:paper_00218693_v314_n1_p324_Grana
Acceder
id BDUBAFCEN_4bdaa4a98411dd4e78ff529d40006ce2
oai_identifier_str paperaa:paper_00218693_v314_n1_p324_Grana
network_acronym_str BDUBAFCEN
repository_id_str 1896
network_name_str Biblioteca Digital (UBA-FCEN)
spelling On a factorization of graded Hopf algebras using Lyndon wordsGraña, M.Heckenberger, I.Graded Hopf algebraLyndon wordNichols algebraWe find a generalization of the restricted PBW basis for pointed Hopf algebras over abelian groups constructed by Kharchenko. We obtain a factorization of the Hilbert series for a wide class of graded Hopf algebras. These factors are parametrized by Lyndon words, and they are the Hilbert series of certain graded Hopf algebras. © 2007 Elsevier Inc. All rights reserved.Fil:Graña, M. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina.2007info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfhttp://hdl.handle.net/20.500.12110/paper_00218693_v314_n1_p324_GranaJ. Algebra 2007;314(1):324-343reponame:Biblioteca Digital (UBA-FCEN)instname:Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturalesinstacron:UBA-FCENenginfo:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by/2.5/ar2025-10-23T11:18:18Zpaperaa:paper_00218693_v314_n1_p324_GranaInstitucionalhttps://digital.bl.fcen.uba.ar/Universidad públicaNo correspondehttps://digital.bl.fcen.uba.ar/cgi-bin/oaiserver.cgiana@bl.fcen.uba.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:18962025-10-23 11:18:19.413Biblioteca Digital (UBA-FCEN) - Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturalesfalse
dc.title.none.fl_str_mv On a factorization of graded Hopf algebras using Lyndon words
title On a factorization of graded Hopf algebras using Lyndon words
spellingShingle On a factorization of graded Hopf algebras using Lyndon words
Graña, M.
Graded Hopf algebra
Lyndon word
Nichols algebra
title_short On a factorization of graded Hopf algebras using Lyndon words
title_full On a factorization of graded Hopf algebras using Lyndon words
title_fullStr On a factorization of graded Hopf algebras using Lyndon words
title_full_unstemmed On a factorization of graded Hopf algebras using Lyndon words
title_sort On a factorization of graded Hopf algebras using Lyndon words
dc.creator.none.fl_str_mv Graña, M.
Heckenberger, I.
author Graña, M.
author_facet Graña, M.
Heckenberger, I.
author_role author
author2 Heckenberger, I.
author2_role author
dc.subject.none.fl_str_mv Graded Hopf algebra
Lyndon word
Nichols algebra
topic Graded Hopf algebra
Lyndon word
Nichols algebra
dc.description.none.fl_txt_mv We find a generalization of the restricted PBW basis for pointed Hopf algebras over abelian groups constructed by Kharchenko. We obtain a factorization of the Hilbert series for a wide class of graded Hopf algebras. These factors are parametrized by Lyndon words, and they are the Hilbert series of certain graded Hopf algebras. © 2007 Elsevier Inc. All rights reserved.
Fil:Graña, M. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina.
description We find a generalization of the restricted PBW basis for pointed Hopf algebras over abelian groups constructed by Kharchenko. We obtain a factorization of the Hilbert series for a wide class of graded Hopf algebras. These factors are parametrized by Lyndon words, and they are the Hilbert series of certain graded Hopf algebras. © 2007 Elsevier Inc. All rights reserved.
publishDate 2007
dc.date.none.fl_str_mv 2007
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/20.500.12110/paper_00218693_v314_n1_p324_Grana
url http://hdl.handle.net/20.500.12110/paper_00218693_v314_n1_p324_Grana
dc.language.none.fl_str_mv eng
language eng
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by/2.5/ar
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by/2.5/ar
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv J. Algebra 2007;314(1):324-343
reponame:Biblioteca Digital (UBA-FCEN)
instname:Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturales
instacron:UBA-FCEN
reponame_str Biblioteca Digital (UBA-FCEN)
collection Biblioteca Digital (UBA-FCEN)
instname_str Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturales
instacron_str UBA-FCEN
institution UBA-FCEN
repository.name.fl_str_mv Biblioteca Digital (UBA-FCEN) - Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturales
repository.mail.fl_str_mv ana@bl.fcen.uba.ar
_version_ 1846784876658819072
score 12.982451

Publicaciones similares