论文标题
准积分模块，一类无扭曲仿射的非最高重量模块
Quasi-integrable modules, a class of non-highest weight modules over twisted affine Lie superalgebras
论文作者
论文摘要
在本文中，我们表征了非零级别的准积分模块，而不是扭曲的仿射超级甲壳虫。我们表明，准积分模块不一定是最高权重模块。我们证明，每个准积分模块都是从cuspidal模块诱导的，在有限的尺寸LIKE级别的超级别的cartan subergebra上，其相应的根系仅包含真实的根。特别地，准积分模块的分类缩短为在这种谎言超级甲壳虫上的cuspidal模块的已知分类。
In this paper, we characterize quasi-integrable modules, of nonzero level, over twisted affine Lie superalgebras. We show that quasi-integrable modules are not necessarily highest weight modules. We prove that each quasi-integrable module is parabolically induced from a cuspidal module, over a finite dimensional Lie superalgebra having a Cartan subalgebra whose corresponding root system just contain real roots; in particular, the classification of quasi-integrable modules is reduced to the known classification of cuspidal modules over such Lie superalgebras.
