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Structure theorems for braided Hopf algebras
Published 19 Jun 2024 in math.QA and math.AT | (2406.13874v1)
Abstract: We develop versions of the Poincar\'e-Birkhoff-Witt and Cartier-Milnor-Moore theorems in the setting of braided Hopf algebras. To do so, we introduce new analogues of a Lie algebra in the setting of a braided monoidal category, using the notion of a braided operad.
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