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On a factorization of graded Hopf algebras using Lyndon words

M. Graña·I. Heckenberger
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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. Key words: graded Hopf algebra, Nichols algebra, Lyndon word

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M. Graña, I. Heckenberger. 2006-08-28. On a factorization of graded Hopf algebras using Lyndon words. https://arxiv.org/abs/math/0608678

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