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Character formulae in category mathcal O for exceptional Lie superalgebra G(3)
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Character formulae in category mathcal O for exceptional Lie superalgebra G(3)
classification
math.RT
keywords
mathcalmodulescategorycomputeexceptionalprojectivesuperalgebraverma
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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 $\mathcal O$.
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