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arXiv · 1804.06951

Character formulae in category $\mathcal O$ for exceptional Lie superalgebra $G(3)$

Shun-Jen Cheng·Weiqiang Wang
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Abstract

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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BibTeXRIS

Shun-Jen Cheng, Weiqiang Wang. 2018-04-19. Character formulae in category $\mathcal O$ for exceptional Lie superalgebra $G(3)$. https://doi.org/10.1215/21562261-2022-0024

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