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

摘要

We classify the blocks and compute the Verma flags of tilting and projective modules in the BGG category O for the exceptional Lie superalgebra G(3). The projec-tive injective modules in O are classified. We also compute the Jordan-Ho center dot lder multiplic-ities of the Verma modules in O.