Characters for Projective Modules in the BGG Category O for General Linear Lie Superalgebras


Abstract in English

We determine the Verma multiplicities and the characters of projective modules for atypical blocks in the BGG Category O for the general linear Lie superalgebras $frak{gl}(2|2)$ and $frak{gl}(3|1)$. We then explicitly determine the composition factor multiplcities of Verma modules in the atypicality 2 block of $frak{gl}(2|2)$.

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