Classification of irreducible integrable modules for multi-loop algebras with finite-dimensional weight spaces (Q5956261)

The author classifies irreducible integrable weight modules with finite-dimensional weight spaces for the multi-loop algebras (the latter are just quotients of toroidal Lie algebras by centers). It turns out that every such module is finite-dimensional and, in fact, is an irreducible module over some finite-dimensional semi-simple quotient of the original algebra.