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- W2744949618 abstract "We describe a simple way to write down explicit derivations of octonions that form a Chevalley basis of $mathfrak{g}_2$. This uses the description of octonions 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 roots as $120$-degree rotations and complex conjugation acts as negation." @default.
- W2744949618 created "2017-08-17" @default.
- W2744949618 creator A5085174191 @default.
- W2744949618 date "2017-08-08" @default.
- W2744949618 modified "2023-09-27" @default.
- W2744949618 title "Root space decomposition of $mathfrak{g}_2$ from octonions" @default.
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- W2744949618 hasPublicationYear "2017" @default.
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