Some properties of the family I" of modular Lie superalgebras
Some properties of the family I" of modular Lie superalgebras
复制标题
模李超代数族 I" 的一些性质
DOI：
10.1007/s10587-013-0073-6
复制
发表时间：
2013
影响因子：
0.5
通讯作者：
Chen Liangyun
中科院分区：
文献类型：
--
作者：
Xu Xiaoning;Chen Liangyun
In this paper, we continue to investigate some properties of the family Γ of finite-dimensional simple modular Lie superalgebras which were constructed by X. N. Xu, Y. Z. Zhang, L. Y. Chen (2010). For each algebra in the family, a filtration is defined and proved to be invariant under the automorphism group. Then an intrinsic property is proved by the invariance of the filtration; that is, the integer parameters in the definition of Lie superalgebras Γ are intrinsic. Thereby, we classify these Lie superalgebras in the sense of isomorphism. Finally, we study the associative forms and Killing forms of these Lie superalgebras and determine which superalgebras in the family are restrictable.
