Relative PBW type theorems for symmetrically braided Hopf algebras

Mathematics – Quantum Algebra

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11 pg.

Scientific paper

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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