The finite-dimensional modular Lie superalgebra Ω

被引：22
|
作者：
Zhang, Yongzheng [1 ]
Zhang, Qingcheng [1 ]
机构：
[1] NE Normal Univ, Dept Math, Changchun 130024, Peoples R China
来源：
JOURNAL OF ALGEBRA | 2009年 / 321卷 / 12期
基金：
中国国家自然科学基金;
关键词：
Modular Lie superalgebra; Grassmann superalgebra; Derivation superalgebra; ALGEBRAS;
D O I：
10.1016/j.jalgebra.2009.01.038
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The finite-dimensional modular Lie superalgebra Omega is constructed. The simplicity of Omega is proved. Its derivation superalgebra is determined. Then it is obtained that Omega is not isomorphic to any known Z-graded modular Lie superalgebra of Cartan type. (c) 2009 Elsevier Inc. All rights reserved.
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页码：3601 / 3619
页数：19
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