Character formulas in category O for exceptional Lie superalgebra G(3)

Abstract

We classify the blocks and compute the Verma flags of tilting and projective modules in the BGG category $\mathcal{O}$ for the exceptional Lie superalgebra $G(3)$. The projective injective modules in $\mathcal{O}$ are classified. We also compute the Jordan–Hölder multiplicities of the Verma modules in $\mathcal{O}$.