Sangwine, Stephen J. Biquaternion (complexified quaternion) roots of \(- 1\). (English) Zbl 1107.30038 Adv. Appl. Clifford Algebr. 16, No. 1, 63-68 (2006). The author calculates the roots of the equation \(w^2 = -1\), where \(w\) is a biquaternion or complex quaternion. There exist beside the solutions for real quaternions further roots spanned by orthogonal pure real quaternions. Reviewer: Klaus Habetha (Aachen) Cited in 21 Documents MSC: 30G35 Functions of hypercomplex variables and generalized variables 15A66 Clifford algebras, spinors Keywords:biquaternions; complex quaternions; imaginary units PDFBibTeX XMLCite \textit{S. J. Sangwine}, Adv. Appl. Clifford Algebr. 16, No. 1, 63--68 (2006; Zbl 1107.30038) Full Text: DOI arXiv