Local Superderivations on Basic Classical Lie Superalgebras
Local Superderivations on Basic Classical Lie Superalgebras
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DOI：
10.1142/s100538671700044x
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发表时间：
2017-11
影响因子：
0.3
通讯作者：
Haixian Chen;Ying Wang;J. Nan
中科院分区：
文献类型：
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作者：
Haixian Chen;Ying Wang;J. Nan
本文证明了复数域上基本经典李超代数上除A（1，1）以外的所有局部超导子都是超导子。进一步，我们给出了一类局部超导子不是超导子的幂零李超代数的例子。
In this paper, we prove that every local superderivation on basic classical Lie superalgebras except for A(1, 1) over the complex number field ℂ is a superderivation. Furthermore, we give an example of a class of nilpotent Lie superalgebras with local superderivations which are not superderivations.