On a factorization of graded Hopf algebras using Lyndon words

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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 c...

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Autores principales: Graña, M., Heckenberger, I.
Formato: Artículo publishedVersion
Publicado: 2007
Materias:
Graded Hopf algebra
Lyndon word
Nichols algebra
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_00218693_v314_n1_p324_Grana
https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_00218693_v314_n1_p324_Grana_oai
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id I28-R145-paper_00218693_v314_n1_p324_Grana_oai
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spelling I28-R145-paper_00218693_v314_n1_p324_Grana_oai2024-08-16 Graña, M. Heckenberger, I. 2007 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. application/pdf http://hdl.handle.net/20.500.12110/paper_00218693_v314_n1_p324_Grana info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar J. Algebra 2007;314(1):324-343 Graded Hopf algebra Lyndon word Nichols algebra On a factorization of graded Hopf algebras using Lyndon words info:eu-repo/semantics/article info:ar-repo/semantics/artículo info:eu-repo/semantics/publishedVersion https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_00218693_v314_n1_p324_Grana_oai
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-145
collection Repositorio Digital de la Universidad de Buenos Aires (UBA)
topic Graded Hopf algebra
Lyndon word
Nichols algebra
spellingShingle Graded Hopf algebra
Lyndon word
Nichols algebra
Graña, M.
Heckenberger, I.
On a factorization of graded Hopf algebras using Lyndon words
topic_facet Graded Hopf algebra
Lyndon word
Nichols algebra
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.
format Artículo
Artículo
publishedVersion
author Graña, M.
Heckenberger, I.
author_facet Graña, M.
Heckenberger, I.
author_sort Graña, M.
title On a factorization of graded Hopf algebras using Lyndon words
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
publishDate 2007
url http://hdl.handle.net/20.500.12110/paper_00218693_v314_n1_p324_Grana
https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_00218693_v314_n1_p324_Grana_oai
work_keys_str_mv AT granam onafactorizationofgradedhopfalgebrasusinglyndonwords
AT heckenbergeri onafactorizationofgradedhopfalgebrasusinglyndonwords
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