Relative PBW type theorems for symmetrically braided Hopf algebras

preprint2010arXivOpen access

Abstract

We show that in characteristic zero all irreducible symmetrically braided Hopf algebras are of PBW type. Consequently, we obtain conditions for a braided Hopf algebra to be of PBW type as module over a braided Hopf subalgebra containing the coradical.

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