论文标题
在Virasoro型谎言（超级）代数的非重量模块的家族中
On a family of non-weight modules over Virasoro-type Lie (super)algebras
论文作者
论文摘要
在本文中，我们将模块分类为witt-type lie代数和superalgebra，以便将其视为$ \ Mathcal {u}的模块（\ Mathfrak {h}）$，它们没有等级1。我们提供了足够的条件。最后，我们应用加权函数，并表明所得模块是中间系列模块。
In this thesis we classify modules over a Witt-type Lie algebra and superalgebra such that when considered as modules of $\mathcal{U}(\mathfrak{h})$ they are free of rank 1. We provide sufficient conditions for simplicity, and compute the action of an automorphism on the module. Lastly, we apply the weighting functor and show that the resulting modules are intermediate series modules.
