Product Zero Derivations on Strictly Upper Triangular Matrix Lie Algebras

• 作 者: Zhengxin CHEN Liling GUO
• 机 构: SchoolofMathematicsandComputerScience
• 出 处: 数学研究及应用：英文版
• 发表日期: 2013年5期
• 关键词: 上三角矩阵 李代数 产品 标量乘法 线性图 对角线 地图 极值 product zero derivations strictly upper triangul
• 基金项目: Supported by the National Natural Science Foundation of China （Grant No. 11101084） and the Natural Science Foundation of Fujian Province （Grant No. 2013301005）.

Let F be a field,n≥3,N(n,F) the strictly upper triangular matrix Lie algebra consisting of the n×n strictly upper triangular matrices and with the bracket operation [x,y] = xy yx.A linear map on N(n,F) is said to be a product zero derivation if [(x),