Locally simple subalgebras of diagonal Lie algebras

TL;DR

This paper classifies all locally simple subalgebras within diagonal locally simple Lie algebras, providing a comprehensive understanding of their structure up to isomorphism.

Contribution

It offers a complete classification of locally simple subalgebras of diagonal locally simple Lie algebras, a previously unresolved structural problem.

Findings

Complete classification up to isomorphism

Identification of all locally simple subalgebras

Structural insights into diagonal Lie algebras

Abstract

We describe, up to isomorphism, all locally simple subalgebras of any diagonal locally simple Lie algebra.