Is there a standard reference for $l$-adic Lie algebra stuff, or a general reference on lie algebras and representation theory which is more suited to learning about $l$-adic lie algebras?
I don't know what you mean by $l$-adic Lie algebra, a Lie algebra over $Q_l$? Representation theory of $l$-adic groups is not understand by its Lie algebras, if you hope for an analogy with Harish Chandra modules, but via Heckealgebras. –  plusepsilon.de Feb 21 '14 at 15:48