I would like to understand the following fact, shall need help, Thank you.
" There is a one- to- one correspondence between the finite dimensional complex representation $\Pi$ of $SU(3)$ and finite dimensional complex linear representation $\pi$ of $sl(3,\mathbb{C})$ and the correspondence is determined by the property that $\Pi(e^X)=e^{\pi(X)}$ for all $X\in su(3)\subseteq sl(3,\mathbb{C})$