On Hopf monoids in duoidal categories
Quantum Algebra
2013-07-18 v2 Category Theory
Abstract
Aguiar and Mahajan's bimonoids A in a duoidal category M are studied. Under certain assumptions on M, the Fundamental Theorem of Hopf Modules is shown to hold for A if and only if the unit of A determines an A-Galois extension. Our findings are applied to the particular examples of small groupoids and of Hopf algebroids over a commutative base algebra.
Cite
@article{arxiv.1212.1018,
title = {On Hopf monoids in duoidal categories},
author = {Gabriella Böhm and Yuanyuan Chen and Liangyun Zhang},
journal= {arXiv preprint arXiv:1212.1018},
year = {2013}
}
Comments
32 pages, several diagrams. v2: final, refereed version