| Abstract | $E_0$-semigroups were introduced by R.T. Powers in the late nineteen-eighties and has since been an interesting and productive area of research. CCR flows are a class of $E_0$-semigroups that was completely characterised by Arveson when the semigroup under consideration was $[0,\infty)$. Later, multiparameter CCR flows over closed convex cones were dealt with by Arjunan et al. I will speak about multiparameter CCR flows in the context of Lie semigroups, comparing our results to those of Arjunan's and proving the injectivity of the CCR functor in this context. I will also construct prime type I multiparameter CCR flows over closed convex cones in $\mathbb{R}^d$, having index $k$, for any $k \in \mathbb{N} \cup \{\infty\}$. |