Antipodes, preantipodes and Frobenius functors
Rings and Algebras
2022-03-31 v3 Category Theory
Quantum Algebra
Abstract
We prove that a quasi-bialgebra admits a preantipode if and only if the associated free quasi-Hopf bimodule functor is Frobenius, if and only if the relative (opmonoidal) monad is a Hopf monad. The same results hold in particular for a bialgebra, tightening the connection between Hopf and Frobenius properties.
Keywords
Cite
@article{arxiv.1906.03435,
title = {Antipodes, preantipodes and Frobenius functors},
author = {Paolo Saracco},
journal= {arXiv preprint arXiv:1906.03435},
year = {2022}
}
Comments
Author's Accepted Manuscript