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Relative PBW type theorems for symmetrically braided Hopf algebras

Published 28 Apr 2010 in math.QA and math.RT | (1004.5022v1)

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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