Historical Notes
The coquaternions were initially introduced (under that name) in 1849 by James Cockle in the London–Edinburgh–Dublin Philosophical Magazine (Cockle 1849). The introductory papers by Cockle were recalled in the 1904 Bibliography of the Quaternion Society. Alexander Macfarlane called the structure of coquaternion vectors an exspherical system when he was speaking at the International Congress of Mathematicians in Paris in 1900.
The unit sphere was considered in 1910 by Hans Beck (Beck 1910: e.g., the dihedral group appears on page 419). The coquaternion structure has also been mentioned briefly in the Annals of Mathematics (Albert 1942, Bargmann 1947).
Read more about this topic: Split-quaternion
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