Center of a Lie algebra
= Center of a Lie algebra
{title2=$Z(\mathfrak g)$}
Like the <center of a group>, the Lie-algebra center consists of elements commuting with every element; here commutation means vanishing of the Lie bracket.
The center is $Z(\mathfrak g)=\{z:[z,x]=0\text{ for every }x\in\mathfrak g\}$.