Inner ideals of real simple Lie algebras

TL;DR

This paper classifies the inner ideals of real simple Lie algebras, providing a comprehensive understanding of their structure and detailed descriptions for exceptional cases.

Contribution

It offers the first complete classification of inner ideals in real simple Lie algebras, including explicit descriptions for exceptional types.

Findings

Complete classification of inner ideals in real simple Lie algebras

Explicit descriptions for exceptional Lie algebras

Automorphism-based classification approach

Abstract

A classification up to automorphism of the inner ideals of the real finite-dimensional simple Lie algebras is given, jointly with precise descriptions in the case of the exceptional Lie algebras.