福建师范大学学报（自然科学版）2011，Vol.27Issue(4)：1-6,6.
单李代数的抛物子代数上保括积的非线性可逆映射
Non-linear Invertible Maps on Parabolic Subalgebras Preserving Lie Products
摘要
Abstract
Let g be a complex simple Lie algebra, Pπis standard parabolic subalgebra of g. Prove that a non-linear bijective map pon ψπ preserves Lie products if and only if it is a product of an inner automorphism, a graph automorphism, a diagonal automorphism and a bijective map extended by an automorphism of the complex field. As its corrolary, any automorphism of Pπ is a product of an inner automorphism, a graph automorphism, a diagonal automorphism.关键词
单李代数/抛物子代数/非线性映射/自同构Key words
simple Lie algebra/ standard parabolic algebra/ non-linear map/ automorphism分类
数理科学引用本文复制引用
郭丽玲,陈正新..单李代数的抛物子代数上保括积的非线性可逆映射[J].福建师范大学学报（自然科学版）,2011,27(4):1-6,6.基金项目
福建省高校服务海西重点建设项目-基于数学的信息化技术研究 （）
