Theorems of Skew Self-Conjugate Matrix on Quaternion Division Ring

摘要

In this article the properties of self-conjugate matrix and skew self-conjugate matrix are discussed.The purpose of this paper is to study the properties of skew self-conjugate matrix over the quaternion fieldwith the help of properties of self-conjugate matrix over the quaternion field.rn Quaternion was introduced by the Irish mathematicianHamilton(1805一1865) in 1843 .As it is expected，themain obstacle in quaternion matrices's study has non-commutation in multiplication of quaternion .Because ofit is wide-ranging connection with many applied science，such as the quantum physics，geostatic，the figure andpattern recognition and the space telemetry and so forth，the research for quaternion algebra is valuable .