一般线性李代数的拟自同构Quasi-automorphism on General Linear Lie Algebras
廖洋;陈清华;
摘要(Abstract)：
令F为代数封闭域,n≥3,gl(n,F)是域F上全体n×n阶矩阵构成的一般线性李代数,φ为gl(n,F)上的一个拟自同构.证明gl(n,F)的一个线性映射是拟自同构当且仅当存在非零元r∈F,可逆矩阵T∈gl(n,F),以及线性函数h:gl(n,F)→F,使对任意的A∈gl(n,F),φ(A)=rTAT~(-1)+h(A)I或φ(A)=rTA~tT~(-1)+h(A)I.
关键词(KeyWords)： 一般线性李代数;零积决定;拟自同构
基金项目(Foundation): 国家自然科学基金资助项目(11871404、11471269);; 福建省自然科学基金资助项目(2016j01002)
作者(Author): 廖洋;陈清华;
Email:
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