Generalized Harish-Chandra Modules: A New Direction

Ivan Penkov, Gregg Zuckerman

Let $\mathfrak{g}$ be a reductive Lie algebra over $\mathbf{C}$. We say that a $\mathfrak{g}$-module $M$ is a generalized Harish-Chandra module if, for some subalgebra $\mathfrak{k}\subset \mathfrak{g}$,…