|
|||||
|
|
Involutions and semiinvolutions |
|
| Authors: | Hiroyuki Ishibashi |
| Institution: | (1) Department of Mathematics, Josai University, Sakado, Saitama 350-02, Japan |
| Abstract: | We define a linear map called a semiinvolution as a generalization of an involution, and show that any nilpotent linear endomorphism is a product of an involution and a semiinvolution. We also give a new proof for Djocović’s theorem on a product of two involutions. |
| Keywords: | classical groups vector spaces and linear maps involutions factorization of a linear map into a product of simple ones |
| 本文献已被 SpringerLink 等数据库收录！ | |