  A root system is splint if it is a decomposition into a union of two root
systems. Examples of such root systems arise naturally in studying embeddings
of reductive Lie subalgebras into simple Lie algebras. Given a splint root
system, one can try to understand its branching rule. In this paper we discuss
methods to understand such branching rules, and give precise formulas for
specific cases, including the restriction functor from the exceptional Lie
algebra $\mathfrak{g}_2$ to $\mathfrak{sl}_3$.
