%0 Journal Article %T Gradings on the Lie algebra $D_4$ revisited %A Alberto Elduque %A Mikhail Kochetov %J Mathematics %D 2014 %I arXiv %R 10.1016/j.jalgebra.2015.07.004 %X 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). %U http://arxiv.org/abs/1412.5076v3