Structure theorems for braided Hopf algebras
Quantum Algebra
2025-10-14 v2 Algebraic Topology
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.
Cite
@article{arxiv.2406.13874,
title = {Structure theorems for braided Hopf algebras},
author = {Craig Westerland},
journal= {arXiv preprint arXiv:2406.13874},
year = {2025}
}
Comments
Accepted for publication by the Journal of Topology