The paper constructs a simple Z2^3-graded basis for G2 and three new Z2^3-graded color algebras of type G2, plus a Z2^2-graded color algebra in a Cartan-Weyl basis.
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$\mathbb{Z}_2^3$-grading of the Lie algebra $G_2$ and related color algebras
The paper constructs a simple Z2^3-graded basis for G2 and three new Z2^3-graded color algebras of type G2, plus a Z2^2-graded color algebra in a Cartan-Weyl basis.