Annihilators of highest weight $\mathfrak{sl}(\infty )$-modules

I. Penkov, A. Petukhov

We give a criterion for the annihilator in U$(\mathfrak{sl}(\infty ))$ of a simple highest weight $\mathfrak{sl}(\infty )$-module to be nonzero. As a consequence we show that, in contrast wi…