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Abstract:

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.

Registro:

Documento: Artículo
Título:On a factorization of graded Hopf algebras using Lyndon words
Autor:Graña, M.; Heckenberger, I.
Filiación:Depto de Matemática - FCEyN, Universidad de Buenos Aires, Pab I - Ciudad Universitaria, 1428 Buenos Aires, Argentina
Mathematisches Institut, Universität Leipzig, Augustusplatz 10-11, 04109 Leipzig, Germany
Palabras clave:Graded Hopf algebra; Lyndon word; Nichols algebra
Año:2007
Volumen:314
Número:1
Página de inicio:324
Página de fin:343
DOI: http://dx.doi.org/10.1016/j.jalgebra.2007.02.046
Título revista:Journal of Algebra
Título revista abreviado:J. Algebra
ISSN:00218693
CODEN:JALGA
PDF:https://bibliotecadigital.exactas.uba.ar/download/paper/paper_00218693_v314_n1_p324_Grana.pdf
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00218693_v314_n1_p324_Grana

Referencias:

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Citas:

---------- APA ----------
Graña, M. & Heckenberger, I. (2007) . On a factorization of graded Hopf algebras using Lyndon words. Journal of Algebra, 314(1), 324-343.
http://dx.doi.org/10.1016/j.jalgebra.2007.02.046
---------- CHICAGO ----------
Graña, M., Heckenberger, I. "On a factorization of graded Hopf algebras using Lyndon words" . Journal of Algebra 314, no. 1 (2007) : 324-343.
http://dx.doi.org/10.1016/j.jalgebra.2007.02.046
---------- MLA ----------
Graña, M., Heckenberger, I. "On a factorization of graded Hopf algebras using Lyndon words" . Journal of Algebra, vol. 314, no. 1, 2007, pp. 324-343.
http://dx.doi.org/10.1016/j.jalgebra.2007.02.046
---------- VANCOUVER ----------
Graña, M., Heckenberger, I. On a factorization of graded Hopf algebras using Lyndon words. J. Algebra. 2007;314(1):324-343.
http://dx.doi.org/10.1016/j.jalgebra.2007.02.046