论文标题
可解决的莱布尼兹超级甲骨
Solvable Leibniz superalgebras whose nilradical has the characteristic sequence $(n-1, 1 \mid m)$ and nilindex $n+m$
论文作者
论文摘要
Nilindex $ n + M $和特征序列$（N-1，1 \ | \ m）$的Leibniz Superalgebras分为四个包含一组非同构超级级别的参数类别。在本文中，我们对可解决的莱布尼兹超级甲壳虫提供了完整的分类，其nilradical是一种nilpotent leibniz superalgebra，带有nilindex $ n + m $和特征序列$（n-1，1 \ | \ | \ m）$。我们获得了这种nilpotent Superalgebras的类别的值的条件，它们具有可解决的扩展。此外，给出了可解决的莱布尼斯超级甲壳虫的分类，其nilradical是具有最大nilindex的谎言超级甲虫。
Leibniz superalgebras with nilindex $n + m$ and characteristic sequence $(n-1, 1 \ | \ m)$ divided into four parametric classes that contain a set of non-isomorphic superalgebras. In this paper, we give a complete classification of solvable Leibniz superalgebras whose nilradical is a nilpotent Leibniz superalgebra with nilindex $n + m$ and characteristic sequence $(n-1, 1 \ | \ m)$. We obtain a condition for the value of parameters of the classes of such nilpotent superalgebras for which they have a solvable extension. Moreover, the classification of solvable Leibniz superalgebras whose nilradical is a Lie superalgebra with the maximal nilindex is given.
