Linear Algebraic Groups with Same Lie Algebra (Soft Question)

167 Views Asked by At

Let $G$ and $H$ be two linear algebraic groups over an algebraically closed field $F$ (char 0 ) such that their lie algebras are isomorphic. Now what can we say about the relation between these two groups ?

It would appreciate if you could give me a detailed description or refer to some quick notes where I can check this out .

PS: I do not know much algebraic geometry and I just needed to know some sort of relation between these 2 groups to continue reading a paper as I am stuck at this point.

Thanks !