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We describe a simple way to write down explicit derivations of octonions thatform a Chevalley basis of $\mathfrak{g}_2$. This uses the description ofoctonions as a twisted group algebra of the finite field $\mathbb{F}_8$.Generators of $\operatorname{Gal}(\mathbb{F}_8/\mathbb{F}_2)$ act on the rootsas $120$-degree rotations and complex conjugation acts as negation.

Root space decomposition of $\mathfrak{g}_2$ from octonions