摘要
本文研究了由李伪代数与其伪模所确定的半直积,从而引出从李伪代数到它的伪模的伪导子的概念,推广了Bakalov等人定义的伪导子的概念,然后刻画了李伪代数与伪模的半直积的伪导子,并给出了有限维复单李代数g的Current李伪代数Curg分别与平凡伪模和非平凡有限维单Curg-模的半直积的伪导子的一些刻画.
The notion of pseudo-derivations from a Lie pseudoalgebra to its pseudo-module is introduced as a generalization of pseudo-derivations of Lie pseudoalgebras due to Bakalov et al. Then, it is used to describe pseudo-derivations of the semi-direct product of a Lie pseudoalgebra and its pseudo-module. An explicit description of pseudo-derivations in the dimensional simple Lie algebras is given. case of Current Lie pseudoalgebras determined by finite
出处
《四川大学学报（自然科学版）》
CAS
CSCD
北大核心
2012年第6期1197-1202,共6页
Journal of Sichuan University(Natural Science Edition)
关键词
李伪代数
伪导子
半直积
伪模
Lie pseudoalgebra, pseudo-derivation, semi-direct product, pseudo-module
