General theory of modules
In this chapter we return to the theory of modules over an arbitrary Lie algebra . There is a great deal that could be said, even in this generality, but we will concentrate on the concepts needed for our study of integral -modules in the next chapter.
6.1 Duals and tensor products
A feature that the theory of modules over Lie algebras shares with the representation theory of groups is that there is a natural operation of duality. Recall that, for any vector space V, the dual space V* consists of all the linear ...