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arXiv · 1803.10949

Gradings on the simple real Lie algebras of types $G_2$ and $D_4$

Alberto Elduque·Mikhail Kochetov
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Abstract

We classify group gradings on the simple Lie algebras of types $G_2$ and $D_4$ over the field of real numbers (or any real closed field): fine gradings up to equivalence and $G$-gradings, with a fixed group $G$, up to isomorphism.

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Alberto Elduque, Mikhail Kochetov. 2018-03-29. Gradings on the simple real Lie algebras of types $G_2$ and $D_4$. https://doi.org/10.1016/j.jalgebra.2018.06.035

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