The Finite-dimensional Modular Lie Superalgebra Γ

被引：4
|
作者：
Xu, Xiaoning [1 ,2 ]
Zhang, Yongzheng [1 ]
Chen, Liangyun [1 ]
机构：
[1] NE Normal Univ, Sch Math & Stat, Changchun 130024, Peoples R China
[2] Liaoning Univ, Sch Math, Shenyang 110036, Peoples R China
来源：
ALGEBRA COLLOQUIUM | 2010年 / 17卷 / 03期
基金：
中国国家自然科学基金;
关键词：
modular Lie superalgebra; derivation superalgebra; isomorphic; CARTAN-TYPE; ALGEBRAS;
D O I：
10.1142/S1005386710000507
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A new family of finite-dimensional modular Lie superalgebras Gamma is defined. The simplicity and generators of Gamma are studied and an explicit description of the derivation superalgebra of Gamma is given. Moreover, it is proved that Gamma is not isomorphic to any known Lie superalgebra of Cartan type.
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页码：525 / 540
页数：16
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