I'm given to understand that a lot of result on representation theory of Lie Algebras can be obtained by applying known result of representation theory of associative algebras to the enveloping algebras of lie algebras.
I understand why it works and that's not the problem. I'd just like to have a reference of some book that follow this kind of approach.
I mean a book that:
- first develops a general theory for representation theory of associative algebras;
- introduces universal enveloping algebras for a Lie algebra;
- deduce most of we have to deduce from representation of Lie algebras.
Does anybody know the standard reference for this kind of program?