A construction of generalized Harish-Chandra modules for locally reductive Lie algebras

Ivan Penkov, Gregg Zuckerman

We study cohomological induction for a pair $(\mathfrak{g},\mathfrak{k})$, $\mathfrak{g}$ being an infinite dimensional locally reductive Lie algebra and $\mathfrak{k}\subset \mathfrak{g}$ being of the for…