Automorphisms of locally string algebras
Rings and Algebras
2025-10-13 v1
Abstract
It is known that automorphisms of finite-dimensional bound quiver algebras decompose into inner automorphisms and automorphisms which permute the vertices. In this paper, we show that for string algebras, automorphisms permuting vertices further decompose into a graded automorphism and a composition of certain types of exponential automorphisms. Moreover, the same decomposition applies to automorphisms of locally string algebras, which are an analogue of string algebras wherein the finite-dimensional condition is omitted.
Cite
@article{arxiv.2510.08701,
title = {Automorphisms of locally string algebras},
author = {Sarafina Ford},
journal= {arXiv preprint arXiv:2510.08701},
year = {2025}
}
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23 pages