Evolution algebras, automorphisms, and graphs
Rings and Algebras
2019-02-07 v1
Abstract
The affine group scheme of automorphisms of an evolution algebra that is equal to its square, is shown to lie in an exact sequence, such that the other terms depend solely on the directed graph associated to the algebra. As a consequence, the Lie algebra of derivations is shown to be trivial in characteristic 0 or 2, and to be abelian, with a precise description depending just on the graph, otherwise.
Cite
@article{arxiv.1902.02191,
title = {Evolution algebras, automorphisms, and graphs},
author = {Alberto Elduque and Alicia Labra},
journal= {arXiv preprint arXiv:1902.02191},
year = {2019}
}
Comments
12 pages