A quaternion with complex coefficients. The algebra of biquaternions is isomorphic to a full matrix ring over the complex number field (van der Waerden 1985).
Biquaternion
See also
QuaternionExplore with Wolfram|Alpha
References
Clifford, W. K. "Preliminary Sketch of Biquaternions." Proc. London Math. Soc. 4, 381-395, 1873.Hamilton, W. R. Lectures on Quaternions: Containing a Systematic Statement of a New Mathematical Method. Dublin: Hodges and Smith, 1853.Study, E. "Von den Bewegung und Umlegungen." Math. Ann. 39, 441-566, 1891.van der Waerden, B. L. A History of Algebra from al-Khwārizmī to Emmy Noether. New York: Springer-Verlag, pp. 188-189, 1985.Referenced on Wolfram|Alpha
BiquaternionCite this as:
Weisstein, Eric W. "Biquaternion." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/Biquaternion.html