Bialgebra Coverings and Transfer of Structure
Rings and Algebras
2018-09-14 v2 Combinatorics
Abstract
We introduce the bicategory of bialgebras with coverings (which can be thought of as coalgebra-indexed families of morphisms), and provide a motivating application to the transfer of formulas for primitives and antipode. Additionally, we study properties of this bicategory and various sub-bicategories, and describe some universal constructions. Finally, we generalize Nichols' result on bialgebra quotients of Hopf algebra, which gives conditions on when the resulting bialgebra quotient is a Hopf algebra.
Cite
@article{arxiv.1803.02691,
title = {Bialgebra Coverings and Transfer of Structure},
author = {Aaron Lauve and Mitja Mastnak},
journal= {arXiv preprint arXiv:1803.02691},
year = {2018}
}
Comments
15 pages, 14 examples