A historical perspective of Tian's evolution algebras

TL;DR

This paper reviews the development and current state of Tian's evolution algebras, highlighting their growing importance across scientific disciplines and summarizing key research topics.

Contribution

It provides a comprehensive historical and current overview of evolution algebras, emphasizing their applications and research progress since Tian's introduction.

Findings

Evolution algebras are increasingly studied across disciplines.

The paper summarizes key research topics and developments.

It highlights the significance of Tian's concept in scientific applications.

Abstract

Even if it has been less than a decade and a half since Tian introduced his concept of evolution algebras to represent algebraically non-Mendelian rules in Genetics, their study is becoming increasingly widespread mainly due to their applications to many scientific disciplines. In order to facilitate further research on the topic, this paper deals with the past and present research on these kind of algebras, together with the most relevant topics regarding them.