论文标题
$ g（3）$ - 非整合权重模块的块和字符
Blocks and characters of $G(3)$-modules of non-integral weights
论文作者
论文摘要
我们将BGG类别中的块分类为$ \ MATHCAL O $的非整合权重模块，用于特殊的Lie Superalgebra $ g（3）$。我们计算出$ \ Mathcal o $的非整合权重模块的字符。建立了简化方法，以将$ g（3）$连接的非整体块与特殊线性的lie代数$ \ mathfrak {sl}（2）$连接起来，特殊线性lie代数$ \ mathfrak {2）$，extifial lie algebra $ g_2 $，通用线性line lie lie superalgebras $ \ mathfrak $ \ mathfrak {gl}（gl} $，$ 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1） Ortho-Splectic Lie Superalgebra $ \ Mathfrak {osp}（3 | 2）$。
We classify blocks in the BGG category $\mathcal O$ of modules of non-integral weights for the exceptional Lie superalgebra $G(3)$. We compute the characters for tilting modules of non-integral weights in $\mathcal O$. Reduction methods are established to connect non-integral blocks of $G(3)$ with blocks of the special linear Lie algebra $\mathfrak{sl}(2)$, the exceptional Lie algebra $G_2$, the general linear Lie superalgebras $\mathfrak{gl}(1|1)$, $\mathfrak{gl}(2|1)$ and the ortho-symplectic Lie superalgebra $\mathfrak{osp}(3|2)$.
