Graded Lie bracket
= Graded Lie bracket
{title2=$[-,-]$}
The bracket on a <graded Lie algebra> is a bilinear operation satisfying graded antisymmetry and the graded <Jacobi identity>. For homogeneous elements of degrees $r,s$, $[u,v]=-(-1)^{rs}[v,u]$. A <Gerstenhaber bracket> uses this convention on the shifted degrees $r=|u|-1$ and $s=|v|-1$.