On $\mathbb{Z}_{2}$-graded polynomial identities of $sl_{2}(F)$ over a finite field (1702.02598v3)

Abstract: Let $F$ be a finite field of $char F > 3$ and $sl_{2}(F)$ be the Lie algebra of traceless $2\times 2$ matrices over $F$. In this paper, we find a basis for the $\mathbb{Z}{2}$-graded identities of $sl{2}(F)$.