Finite-dimensional simple modular Lie superalgebra ℳ

被引：0
|
作者：
Lili Ma
Liangyun Chen
Yongzheng Zhang
机构：
[1] Qiqihar University,School of Science
[2] Northeast Normal University,School of Mathematics and Statistics
来源：
Frontiers of Mathematics in China | 2013年 / 8卷
关键词：
Modular Lie superalgebra; derivation superalgebra; nonnatural filtration; 17B50;
D O I：
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学科分类号：
摘要：
A new family of finite-dimensional simple modular Lie superalgebra ℳ is constructed based on results of Y. Z. Zhang and Q. C. Zhang [J. Algebra, 2009, 321: 3601–3619]. The simplicity and generators of ℳ are discussed and the derivation superalgebra of ℳ is characterized. Furthermore, the invariance of the nonnatural filtration of ℳ is determined by the method of minimal dimension of image spaces.
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页码：411 / 441
页数：30
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