Structure theorems for braided Hopf algebras
Year: 2025
Type: article
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.
Source: Journal of Topology
DOI: 10.1112/topo.70051
Author: Craig Westerland
Institution: University of Minnesota
Language: English
Topic: Advanced Topics in Algebra
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,930
Funder: National Science Foundation
OpenAlex ID: W4416419468