Classification of integrable representations for toroidal extended affine Lie algebras

Abstract

In this paper, we classify the irreducible integrable modules with finite dimensional weight spaces and non-trivial ${\tilde{\mathfrak{g}}}_c$-action for the nullity $2$ toroidal extended affine Lie algebra $\tilde{\mathfrak{g}}$, where ${\tilde{\mathfrak{g}}}_c$ is the core of $\tilde{\mathfrak{g}}$.