摘要
本文研究了特征p=3域上李代数T(3)的滤过结构,利用W(3)[0]—模W(3)[-1]所提供的矩阵表示,建立T(3)中幂零元与幂零阵之间的关系,得到了T(3)的滤过结构的几个性质。
In this article,we research the filtration structure of Lie algebra T(3) in the field of characteristic p = 3. We use the matrix express provided by W(3)[0] - modular W(3)[_ 1] to ehtablish the relation between nilpotent elements and nilpotent matrices in T(3) and achieve the properties of filtration of Lie algebra T(3).
基金
廊坊师范学院科学研究项目(LSZY201003
LSZQ201008)
关键词
滤过
ad-幂零元
幂零阵
Filtration
ad - nilpotent elements
Nilpotet matrix