Certain categories of modules for twisted affine Lie algebras

In this paper, using generating functions, we study two categories and of E and C of modules for twisted affine Lie algebras (g) over cap[sigma], which were firstly introduced and studied for untwisted affine Lie algebras by H. -S. Li [Math Z, 2004, 248: 635-664]. We classify integrable irreducible (g) over cap[sigma]-modules in categories E and C, where E is proved to contain the well-known evaluation modules and C to unify highest weight modules, evaluation modules and their tensor product modules. We determine also the isomorphism classes of those irreducible modules.