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arxiv: 1803.10949 · v1 · pith:CPSPQVABnew · submitted 2018-03-29 · 🧮 math.RA

Gradings on the simple real Lie algebras of types G₂ and D₄

classification 🧮 math.RA
keywords gradingsrealalgebrasfieldgroupsimpletypesclassify
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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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