On ${\mathbb{Z}}_2$-graded polynomial identities of $s{l}_2(F)$ over a finite field

Abstract

Let $F$ be a finite field of $charF>3$ and $s{l}_2(F)$ 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 $s{l}_2(F)$.

arXiv admin note: substantial text overlap with arXiv:1311.3904. To appear in Serdica