Gradings on classical central simple real Lie algebras
Yuri Bahturin, Mikhail Kochetov, Adri\'an Rodrigo-Escudero

TL;DR
This paper classifies all possible gradings by abelian groups on classical central simple real Lie algebras, excluding type D4, providing a comprehensive understanding of their structural gradings over real fields.
Contribution
It offers a complete classification of G-gradings on classical central simple real Lie algebras, extending previous work to include all types except D4.
Findings
Complete classification of G-gradings on classical central simple real Lie algebras
Excludes type D4 due to complexity
Results applicable over real closed fields
Abstract
For any abelian group , we classify up to isomorphism all -gradings on the classical central simple Lie algebras, except those of type , over the field of real numbers (or any real closed field).
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