Classification of Irreducible Integrable Modules for Multi-loop Algebras with Finite-Dimensional Weight Spaces

Classification of Irreducible Nonzero Le

Classification of Irreducible Nonzero Level Modules with Finite-Dimensional Weight Spaces for Affine Lie Algebras

✍ V Futorny; A Tsylke 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 142 KB

We classify the irreducible weight affine Lie algebra modules with finite-dimensional weight spaces on which the central element acts nontrivially. In particular, we show that any such module is a quotient of a generalized Verma module. The classification of such irreducible modules is reduced to th