Simple modules for untwisted affine Lie algebras induced from nilpotent loop subalgebras.

We construct large families of simple modules for untwisted affine Lie algebras using induction from one-dimensional modules over nilpotent loop subalgebras. We also show that the vector space of the first self-extensions for these module has uncountable dimension and that generic tensor products of these modules are simple. [ABSTRACT FROM AUTHOR]