Structure of parabolically induced modules for affine Kac-Moody algebras (Q1702707)

The paper under review studies the problem of simplicity of modules over affine Lie algebras which are parabolically induced from simple modules over non-standard parabolic subalgebras. The main result of the paper establishes simplicity of a large family of such modules with nonzero central charge. As a consequence, many new simple modules over affine Lie algebras are constructed.