Milnor-Moore theorems for bialgebras in characteristic zero
Rings and Algebras
2023-03-07 v2
Abstract
Over fields of characteristic zero, we construct equivalences between certain categories of bialgebras which are generated by grouplikes and generalized primitives, and certain categories of structured Lie algebras. The relevant families of bialgebras include many which are not connected, and which fail to admit antipodes.
Cite
@article{arxiv.2208.10774,
title = {Milnor-Moore theorems for bialgebras in characteristic zero},
author = {Joey Beauvais-Feisthauer and Yatin Patel and Andrew Salch},
journal= {arXiv preprint arXiv:2208.10774},
year = {2023}
}
Comments
30 pages, J. Algebra accepted version