Displaying similar documents to “A remark on differential operator algebras and an equivalence of categories”

Classification of irreducible weight modules

Olivier Mathieu (2000)

Annales de l'institut Fourier


Let 𝔤 be a reductive Lie algebra and let 𝔥 be a Cartan subalgebra. A 𝔤 -module M is called a if and only if M = λ M λ , where each weight space M λ is finite dimensional. The main result of the paper is the classification of all simple weight 𝔤 -modules. Further, we show that their characters can be deduced from characters of simple modules in category 𝒪 .