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: JOUR
Materias:
Graded Hopf algebra
Lyndon word
Nichols algebra
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_00218693_v314_n1_p324_Grana
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id todo:paper_00218693_v314_n1_p324_Grana
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spelling todo:paper_00218693_v314_n1_p324_Grana2023-10-03T14:21:24Z On a factorization of graded Hopf algebras using Lyndon words Graña, M. Heckenberger, I. Graded Hopf algebra Lyndon word Nichols algebra 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_00218693_v314_n1_p324_Grana
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (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 JOUR
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
url http://hdl.handle.net/20.500.12110/paper_00218693_v314_n1_p324_Grana
work_keys_str_mv AT granam onafactorizationofgradedhopfalgebrasusinglyndonwords
AT heckenbergeri onafactorizationofgradedhopfalgebrasusinglyndonwords
_version_ 1807317185161330688

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