# Weyl’s theorem

Let $\mathfrak{g}$ be a finite dimensional semi-simple Lie algebra. Then any finite dimensional representation of $\mathfrak{g}$ is completely reducible.

Title Weyl’s theorem WeylsTheorem 2013-03-22 13:21:24 2013-03-22 13:21:24 bwebste (988) bwebste (988) 5 bwebste (988) Theorem msc 17B20