An explicit characterization of socular simple modules of $\mathfrak{sl}(n,\mathbb{C})$

Zhanqiang Bai, Wei Xiao, Xun Xie

Let $\mathfrak{g}$ be a simple complex Lie algebra with a Cartan subalgebra $\mathfrak{h}$. We fix a standard parabolic subalgebra $\mathfrak{p}\supset \mathfrak{h}$. The socular s…