Structure theorems for braided Hopf algebras
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.
Authors
- Craig Westerland (ORCID: https://orcid.org/0000-0002-8781-3455)
Institutions
- University of Minnesota (US)
Publication Details
- Journal
- Journal of Topology
- Published
- 2025-11-20
- DOI
- https://doi.org/10.1112/topo.70051
- Primary Topic
- Algebraic structures and combinatorial models
- Type
- article
- Field-Weighted Citation Impact
- 0.00