Structure theorems for braided Hopf algebras

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Abstract

We develop versions of the Poincaré–Birkhoff–Witt and Cartier–Milnor–Moore theorems in the setting of braided Hopf algebras. To do so, we introduce new analogs of a Lie algebra in the setting of a braided monoidal category, using the notion of a braided operad.

Original languageEnglish (US)
Article numbere70051
JournalJournal of Topology
Volume18
Issue number4
DOIs
StatePublished - Dec 2025

Bibliographical note

Publisher Copyright:
© 2025 The Author(s). Journal of Topology is copyright © London Mathematical Society.

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