Books
B. Bakalov and A. Kirillov, Jr., Lectures on tensor categories and modular functors, University Lecture Series 21, American Mathematical Society, Providence, RI, 2001. A free preliminary version is available here. Here is a preview of the Contents and Introduction.
B.N. Bakalov and K.C. Misra, Lie algebras and their representations, in preparation. Lecture notes available to NCSU students.