I am about to finish reading Hall's Lie Groups, Lie Algebras, and Representations, and searching for the next book.
I am poor at differential geometry but good at algebra, including Lie algebras. Indeed, I know much about representation theory of finite dimensional Lie algebras, and a little about that of infinite dimension.
What would be the best book for me of general theory of Lie group representations? Or should I learn more about geometry before reading further?