Character formulae in category $\mathcal O$ for exceptional Lie superalgebra $G(3)$

Shun-Jen Cheng, Weiqiang Wang

Published 2018-04-19Version 1

We classify the blocks, 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-H\"older multiplicities of the Verma modules in $\mathcal O$.