双四元数或复化四元数的基本表示和代数性质
Fundamental representations and algebraic properties of biquaternions or complexified quaternions
摘要：
双四元数（复化四元数）的基本性质，包括几种不同的表示，其中一些新的，和基本运算的定义，如标量和矢量部分，共轭，半范数，极坐标形式，和内外积。符号是一致的，甚至在表示之间，提供了一个明确的帐户的许多方式，其中组成部分的一个双四元数可以操纵代数。
英文摘要：
The fundamental properties of biquaternions (complexified quaternions) are presented including several different representations, some of them new, and definitions of fundamental operations such as the scalar and vector parts, conjugates, semi-norms, polar forms, and inner and outer products. The notation is consistent throughout, even between representations, providing a clear account of the many ways in which the component parts of a biquaternion may be manipulated algebraically.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
