Lazard derivation

Definition
Suppose $$G$$ is a defining ingredient::Lazard Lie group, i.e., it has a Lazard Lie ring via the Lazard correspondence. A function from $$G$$ to itself is termed a Lazard derivation if, under the natural bijection between $$G$$ and its Lazard Lie ring, this function corresponds to a defining ingredient::derivation of the Lazard Lie ring.