论文标题
BGG类别中的投影模块的字符$ \ MATHCAL {O} $用于OrthoSymplectic Lie Superalgebra $ \ Mathfrak {osp}（3 | 4）$
Characters for Projective Modules in the BGG Category $\mathcal{O}$ for the Orthosymplectic Lie Superalgebra $\mathfrak{osp}(3|4)$
论文作者
论文摘要
我们确定了BGG类别中积分非典型块的标准滤波的Verma多重性$ \ MATHCAL {O} $用于OrthoSympletic Lie Superalgebras $ \ Mathfrak $ \ Mathfrak {osp {osp}（3 | 4）$，通过翻译功能。然后，我们使用BGG互惠明确地确定Verma模块的组成因子多重性。
We determine the Verma multiplicities of standard filtrations of projective modules for integral atypical blocks in the BGG category $\mathcal{O}$ for the orthosymplectic Lie superalgebras $\mathfrak{osp}(3|4)$ by way of translation functors. We then explicitly determine the composition factor multiplicities of Verma modules using BGG reciprocity.
