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arxiv: 1004.5022 · v1 · pith:IZVDDMUKnew · submitted 2010-04-28 · 🧮 math.QA · math.RT

Relative PBW type theorems for symmetrically braided Hopf algebras

classification 🧮 math.QA math.RT
keywords braidedhopftypealgebrassymmetricallyalgebracharacteristicconditions
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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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