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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Detalles Bibliográficos
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
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
Descripción
Sumario: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.

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