论文标题
Ovsienko-Roger Superalgebra上简单的Harish-Chandra模块的分类
Classification of simple Harish-Chandra modules over the Ovsienko-Roger superalgebra
论文作者
论文摘要
凭借$ω$ - virasoro代数\ cite {bf}和超级virasoro代数\ in \ cite {cl，cll}，我们获得了$ω$ - operators for ovSienko-roger supergabras在本文中，然后在本文中使用IT和$ cus $ bz以$ cules ules ules ules ules ules ules ules ules the ules the ules the ules the ules the bz the yulles the ules。 $ \ frac12 \ bz $ - 加工的Ovsienko-Roger Superalgebras。通过这个结果，我们可以轻松地将所有简单的Harish-Chandra模块分类，包括一些相关的谎言级别的超级船，包括$ n = 1 $ bms $ _3 $ algebra，super $ w（2,2）$等。
With the $Ω$-operators for the Virasoro algebra \cite{BF} and the super Virasoro algebra in \cite{CL, CLL}, we get the $Ω$-operators for the Ovsienko-Roger superalgebras in this paper and then use it to classify all simple cuspidal modules for the $\bZ$-graded and $\frac12\bZ$-graded Ovsienko-Roger superalgebras. By this result, we can easily classify all simple Harish-Chandra modules over some related Lie superalgebras, including the $N=1$ BMS$_3$ algebra, the super $W(2,2)$, etc.
