# Tag Archives: derivation

## Highlights in Linear Algebraic Groups 3: Lie Algebras II

In Linear Algebraic Groups 2, we defined the Lie algebra of an algebraic group $G$ to be the Lie algebra of all left-invariant derivations $D:k[G]\to k[G]$ where $k[G]$ is the representing algebra of $G$. However, we were left trying to figure out exactly how a morphism $\varphi:G\to H$ determines a […]