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arXiv · 1412.5076

Gradings on the Lie algebra $D_4$ revisited

Alberto Elduque·Mikhail Kochetov
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Abstract

We classify group gradings on the simple Lie algebra $L$ of type $D_4$ over an algebraically closed field of characteristic different from 2: fine gradings up to equivalence and $G$-gradings, with a fixed group $G$, up to isomorphism. For each $G$-grading on $L$, we also study graded $L$-modules (assuming characteristic 0).

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Alberto Elduque, Mikhail Kochetov. 2015-09-21. Gradings on the Lie algebra $D_4$ revisited. https://doi.org/10.1016/j.jalgebra.2015.07.004

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