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Biquaternion (complexified quaternion) roots of \(- 1\). (English) Zbl 1107.30038

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.

MSC:

30G35 Functions of hypercomplex variables and generalized variables
15A66 Clifford algebras, spinors
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