1. Review and construction (KNR)
Review of structure and representation theory of finite-dimensional semi-simple Lie algebras, loop algebras and central extension, realizations of untwisted affine Lie algebras
2. The affine Weyl group and Weyl character formula (RV)
The affine root system, affine Weyl group, alcove geometry, the generalized Casimir operator, Weyl-Kac character formula, denominator identity
3. Category O and O^int (SSS)
The Category O, Verma modules, classification of irreducible objects in the Category O, integrable modules, the Category O^int, classification of irreducible objects in the Category O^int
4. Theta functions and Modular forms (SV)
Affine algebras, theta functions, and modular forms
5. Basic representations (BR)
Irreducible modules for affine Lie algebras, the basic representation