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Characters for Projective Modules in the BGG Category O for General Linear Lie Superalgebras
Published 31 Oct 2018 in math.RT | (1810.13050v1)
Abstract: 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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