Finite-dimensional simple modular Lie superalgebra a"3

被引：4
|
作者：
Ma, Lili [1 ]
Chen, Liangyun [2 ]
Zhang, Yongzheng [2 ]
机构：
[1] Qiqihar Univ, Sch Sci, Qiqihar 161006, Peoples R China
[2] NE Normal Univ, Sch Math & Stat, Changchun 130024, Peoples R China
来源：
FRONTIERS OF MATHEMATICS IN CHINA | 2013年 / 8卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Modular Lie superalgebra; derivation superalgebra; nonnatural filtration; CARTAN-TYPE; ALGEBRAS;
D O I：
10.1007/s11464-012-0243-0
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A new family of finite-dimensional simple modular Lie superalgebra a"(3) is constructed based on results of Y. Z. Zhang and Q. C. Zhang [J. Algebra, 2009, 321: 3601-3619]. The simplicity and generators of a"(3) are discussed and the derivation superalgebra of a"(3) is characterized. Furthermore, the invariance of the nonnatural filtration of a"(3) is determined by the method of minimal dimension of image spaces.
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页码：411 / 441
页数：31
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