论文标题
Hom-Lie Superalgebras上的非降级杀人形式
Non-degenerate Killing forms on Hom-Lie superalgebras
论文作者
论文摘要
在本文中，我们研究了简单的hom-lie Superalgebras的一些重要基本特性，并表明Hom-Lie Superalgebra没有任何左右的非平凡理想。此外，我们将不变的双线性形式分类为给定的简单hom-lie Superalgebra。然后，我们在Hom-Lie代数上研究杀戮形式，这是双线性形式不变的例子。利用杀戮形式，我们发现hom-lie Superalgebra是经典的条件。此外，我们检查了hom-lie超级甲壳虫的杀戮形式的条件。
In this paper we investigate some important basic properties of simple Hom-Lie superalgebras and show that a Hom-Lie superalgebra does not have any left or right nontrivial ideals. Moreover, we classify invariant bilinear forms on a given simple Hom-Lie superalgebra. Then we study the Killing forms on a Hom-Lie algebra which are examples of the invariant bilinear forms. Making use of the Killing forms, we find conditions for a Hom-Lie superalgebra to be classical. Furthermore, we check the conditions in which the Killing form of a Hom-Lie superalgebra is non-degenerate.
