Can anybody give me any useful link for the history of quaternion? The quaternion and Octanion are constructed but why other do not exist? What is the geometric interpretation of a quaternion?
In the case of complex space we have two real perpendicular axex while in the case of Quaternion we have 2 complex axes and a quaternion is constructed basically by the multiplication of 2 complex numbers. Similarly octanions are constructed from quaternions. But geometrically it has been proved that no further such extension is possible.