Vasily Dolgushev, Temple University
This is a continuation of the series of meetings about linear algebraic groups. After tying up loose ends related to the Jordan decomposition, I will introduce characters, weights and semi-invariants. We will show that, for every normal subgroup $N$ of an affine algebraic group $G$, there exists a morphism $\alpha$ of algebraic groups from $G$ to $GL(V)$ such that $N$ is the kernel of $\alpha$ and the Lie algebra of $N$ is the kernel of the differential of $\alpha$.