Classification of Simple Cuspidal Modules over a Lattice Lie Algebra of Witt type

Let $W_��$ be the lattice Lie algebra of Witt type associated with an additive inclusion $��: \mathbb{Z}^N \hookrightarrow \mathbb{C}^2$ with $N>1$. In this article, the classification of simple $\mathbb{Z}^N$-graded $W_��$-modules, whose multiplicities are uniformly bounded, is given.
29 pages