Infinite-Dimensional Modular Lie Superalgebra Ω

被引：0
|
作者：
Xu, Xiaoning [1 ]
Mu, Bing [1 ]
机构：
[1] Liaoning Univ, Sch Math, Shenyang 110036, Peoples R China
来源：
ABSTRACT AND APPLIED ANALYSIS | 2013年
基金：
中国国家自然科学基金;
关键词：
AD-NILPOTENT ELEMENTS; CARTAN TYPE; ALGEBRAS; CLASSIFICATION;
D O I：
10.1155/2013/923101
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
All ad-nilpotent elements of the infinite-dimensional Lie superalgebra Omega over a field of positive characteristic are determined. The natural filtration of the Lie superalgebra Omega is proved to be invariant under automorphisms by characterizing ad-nilpotent elements. Then an intrinsic property is obtained by the invariance of the filtration; that is, the integers in the definition of Omega are intrinsic. Therefore, we classify the infinite-dimensional modular Lie superalgebra Omega in the sense of isomorphism.
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页数：10
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