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math.RA2005★ 51 cited
Biquaternion (complexified quaternion) roots of -1
Stephen J. Sangwine
The roots of -1 in the set of biquaternions (quaternions with complex components, or complex numbers with quaternion real and imaginary parts) are studied and it is shown that ther…
math.RA2005★ 131 cited
Quaternion Involutions
Todd A. Ell, Stephen J. Sangwine
An involution is usually defined as a mapping that is its own inverse. In this paper, we study quaternion involutions that have the additional properties of distribution over addit…