Source: wikibot/serre-s-theorem-on-a-semisimple-lie-algebra
= Serre's theorem on a semisimple Lie algebra
{wiki=Serre's_theorem_on_a_semisimple_Lie_algebra}
Serre's theorem is a fundamental result in the representation theory of semisimple Lie algebras. It provides a criterion for the simplicity of certain representations and describes the structure of the category of representations of a semisimple Lie algebra.