论文标题
$ d（2 | 1;ζ）$ - 非整合权重模块的块和字符
Blocks and characters of $D(2|1;ζ)$-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 $ d（2 | 1;ζ）$。我们建立了各种还原方法，这些方法连接了$ d（2 | 1;ζ）$的某些类型的非综合块，并具有整体线性的整体块Superalgebras $ \ Mathfrak {gl} {（1 | 1 | 1）} $和$ \ MATHFRAK {GL} {（2 | 1）{（2 | 1）} $。我们计算不可约$ d（2 | 1;ζ）$ - 非整合权重模块中的字符。
We classify blocks in the BGG category $\mathcal O$ of modules of non-integral weights for the exceptional Lie superalgebra $D(2|1;ζ)$. We establish various reduction methods, which connect some types of non-integral blocks of $D(2|1;ζ)$ with integral blocks of general linear Lie superalgebras $\mathfrak{gl}{(1|1)}$ and $\mathfrak{gl}{(2|1)}$. We compute the characters for irreducible $D(2|1;ζ)$-modules of non-integral weights in $\mathcal O$.
