Integrable bounded weight modules of classical Lie superalgebras at infinity

Abstract

We classify integrable bounded simple weight modules over classical Lie superalgebras at infinity. We also study the categories of such modules, and we prove that for most of the classical Lie superalgebras at infinity the respective category is semisimple.

minor corrections regarding the sl(\infty|1) case in Lemma 5.5 and Theorem 5.9