Derivations of the even part of contact Lie superalgebra

被引:10
|
作者
Guan, Baoling [1 ]
Chen, Liangyun [1 ]
机构
[1] NE Normal Univ, Sch Math & Stat, Changchun 130024, Peoples R China
关键词
CARTAN-TYPE; ALGEBRAS;
D O I
10.1016/j.jpaa.2012.01.010
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Let K and W denote the even parts of the contact Lie superalgebra and the generalized Witt Lie superalgebra respectively. In the paper, the 1-cocycle of K with values in K-module W is studied. In particular, the negative homogeneous 1-cocycle of K with values in K-module W is determined and as an application, the negative homogeneous 1-cocycle of K is given. For the nonnegative homogeneous 1-cocycle of K with values in W, we first give reduction theorem and then determine the nonnegative homogeneous 1-cocycle of X with values in K-module W. (C) 2012 Elsevier B.V. All rights reserved.
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页码:1454 / 1466
页数:13
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