Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4599004 | Linear Algebra and its Applications | 2015 | 10 Pages |
Abstract
Let F be an algebraically closed field of characteristic 0, L be a finite-dimensional simple Lie algebra of type Al (lâ¥1), Dl (lâ¥4), Ek (k=6,7,8) over F. A not necessarily linear map Ï:LâL is called a 2-local automorphism if for every x,yâL there is an automorphism Ïx,y:LâL, depending on x and y, such that Ï(x)=Ïx,y(x), Ï(y)=Ïx,y(y). In this paper, we prove that any 2-local automorphism of L is an automorphism.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Zhengxin Chen, Dengyin Wang,