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arXiv · 1810.13050

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

Arun S. Kannan
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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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BibTeXRIS

Arun S. Kannan. 2018-10-31. Characters for Projective Modules in the BGG Category O for General Linear Lie Superalgebras. https://doi.org/10.1016/j.jalgebra.2019.05.024

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