Partial actions of groups on quivers and path algebras
Representation Theory
2025-10-27 v1 Rings and Algebras
Abstract
In this article, we introduce the concept of partial actions of a group on quivers and demonstrate that for any given partial action of G on a quiver , there exists another quiver, with a full -action. This is an enveloping action of the partial action of on . We also introduce partial actions of groups on algebras by subalgebras instead of ideals and we define enveloping actions in this case. We show that any partial action of a group on a path algebra that is induced by a partial action on a quiver has an enveloping action.
Cite
@article{arxiv.2510.21035,
title = {Partial actions of groups on quivers and path algebras},
author = {Wagner Cortes and Eduardo N. Marcos},
journal= {arXiv preprint arXiv:2510.21035},
year = {2025}
}