Gradings on classical central simple real Lie algebras

Abstract

For any abelian group $G$, we classify up to isomorphism all $G$-gradings on the classical central simple Lie algebras, except those of type $D_4$, over the field of real numbers (or any real closed field).

35 pages

References in corpus (2)

• Classification of involutions on graded-division simple real algebras
• Graded Division Algebras over the Field of Real Numbers

Cited by in corpus (10)

• Group gradings on the Lie and Jordan algebras of block-triangular matrices
• A new invariant for finite dimensional Leibniz/Lie algebras
• Gradings on the simple real Lie algebras of types $G_2$ and $D_4$
• Classification of involutions on graded-division simple real algebras
• Gradings on associative algebras with involution and real forms of classical simple Lie algebras
• Fine gradings and automorphism groups on associative algebras
• Gradings on the real form ${\mathfrak{e}}_{6,-14}$
• Graded Lie-Rinehart algebras
• On nonassociative graded-simple algebras over the field of real numbers
• Gradings on simple real Lie algebras