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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).

See also Quaternion


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-Khwarizmi to Emmy Noether. New York: Springer-Verlag, pp. 188-189, 1985.

© 1996-9 Eric W. Weisstein