Structure theorems for braided Hopf algebras
arXiv:2406.13874
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 analogues of a Lie algebra in the setting of a braided monoidal category, using the notion of a braided operad.
Accepted for publication by the Journal of Topology