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

Published 29 Mar 2018 in math.RA | (1803.10949v1)

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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