131 citations · 511 across the 14 of their papers we have counts for
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math.RA2008★ 14 cited
Determination of the biquaternion divisors of zero, including the idempotents and nilpotents
Stephen J. Sangwine, Daniel Alfsmann
The biquaternion (complexified quaternion) algebra contains idempotents (elements whose square remains unchanged) and nilpotents (elements whose square vanishes). It also contains…
math.RA2008★ 34 cited
Quaternion polar representation with a complex modulus and complex argument inspired by the Cayley-Dickson form
Stephen J. Sangwine, Nicolas Le Bihan
We present a new polar representation of quaternions inspired by the Cayley-Dickson representation. In this new polar representation, a quaternion is represented by a pair of compl…
math.RA2008★ 2 cited
Canonic form of linear quaternion functions
Stephen J. Sangwine
The general linear quaternion function of degree one is a sum of terms with quaternion coefficients on the left and right. The paper considers the canonic form of such a function,…