Continuous Evolution Algebras
Rings and Algebras
2022-02-08 v1
Abstract
We formulate the notion of continuous evolution algebra in terms of differentiable matrix-valued functions, to then study those such algebras arising as solutions of ODE problems. Given their dependence on natural bases, matrix Lie groups provide a suitable framework where considering time-variant evolution algebras. We conclude by broadening our approach by considering continuous evolution algebras stemming as flow lines on matrix Lie groups.
Cite
@article{arxiv.2202.02803,
title = {Continuous Evolution Algebras},
author = {Fernando Montaner and Irene Paniello},
journal= {arXiv preprint arXiv:2202.02803},
year = {2022}
}