Partial Actions of Weak Hopf Algebras on Coalgebras
Representation Theory
2018-10-09 v1 Quantum Algebra
Abstract
In this work the notions of partial action of a weak Hopf algebra on a coalgebra and partial action of a groupoid on a coalgebra will be introduced, just as some important properties. An equivalence between these notions will be presented. Finally, a dual relation between the structures of partial action on a coalgebra and partial action on an algebra will be established, as well as a globalization theorem for partial module coalgebras will be presented.
Cite
@article{arxiv.1810.02872,
title = {Partial Actions of Weak Hopf Algebras on Coalgebras},
author = {Eneilson Campos and Grasiela Martini and Graziela Fonseca},
journal= {arXiv preprint arXiv:1810.02872},
year = {2018}
}