Characters for projective modules in the BGG category O for the orthosymplectic Lie superalgebra osp(3|4)

Abstract

We determine the Verma multiplicities of standard filtrations of projective modules for integral atypical blocks in the BGG category O for the orthosymplectic Lie superalgebras osp(3|4) by way of translation functors. We then explicitly determine the composition factor multiplicities of Verma modules using BGG reciprocity.