Derivations of the even part of contact Lie superalgebra

作者：Guan, Baoling; Chen, Liangyun^*

来源：Journal of Pure and Applied Algebra, 2012, 216(6): 1454-1466.

DOI：10.1016/j.jpaa.2012.01.010

• CARTAN-TYPE
• ALGEBRAS

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.

• 出版日期2012-6
• 单位东北师范大学