1. Gradings on classical central simple real Lie algebras
- Author
-
Adrián Rodrigo-Escudero, Yuri Bahturin, and Mikhail Kochetov
- Subjects
Pure mathematics ,Algebra and Number Theory ,Simple Lie group ,010102 general mathematics ,Non-associative algebra ,17B70 (Primary), 16W50, 16W10 (Secondary) ,Real form ,010103 numerical & computational mathematics ,Mathematics - Rings and Algebras ,Killing form ,01 natural sciences ,Affine Lie algebra ,Adjoint representation of a Lie algebra ,Representation of a Lie group ,Rings and Algebras (math.RA) ,FOS: Mathematics ,Fundamental representation ,0101 mathematics ,Mathematics - 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
- Published
- 2017