I am looking for a reference that describes how to decompose a tensor product of two finite dimensional simple modules for a reductive Lie algebra over $\mathbb{C}$.


In particular, I would like a reference that describes it along the same lines as the way it can be described for $gl\_n(\mathbb{C})$ and $sl\_n(\mathbb{C})$ (where it simply becomes a combinatorial question in that case involving the Littlewood-Richardson coefficients).



Reference request: Tensor products of modules for reductive Lie algebras
This has been fully discussed in


[Decompose tensor product of type $G\_2$ Lie algebras.](https://mathoverflow.net/questions/85593)


