摘要
Alekseev-Meinrenken微分同胚是一个从埃尔米特矩阵集合到正定埃尔米特矩阵集合的映射,该映射由某些特殊的线性代数性质唯一刻画.本文运用纯线性代数方法重新给出了该微分同构的具体公式.
The Alekseev-Meinrenken diffeomorphism is the unique map from the set of Hermitian matrices to the set of positive definite Hermitian matrices,with certain distinguished linear algebra properties.In this paper,we give the explicit formula of the diffeomorphism via a purely linear algebra method.
作者
肖哲衡
王嘉晟
XIAO Zheheng;WANG Jiasheng(Phillips Exeter Academy,20 Main Street,Exeter,NH 03833,USA;Princeton International School of Mathematics and Science,19 Lambert Drive,Princeton,NJ 08540,USA)
出处
《数学进展》
CSCD
北大核心
2020年第5期561-572,共12页
Advances in Mathematics(China)