On a factorization of graded Hopf algebras using Lyndon words

Details On a factorization of graded Hopf algebras using Lyndon words On a factorization of graded Hopf algebras using Lyndon words

2006-08-28

arxiv.org/abs/math/0608678v1

Mathematics

Quantum Algebra

18 pages

Scientific paper

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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