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De-Moivre’s formula for matrices of quaternions. (English) Zbl 1218.30134

Summary: The Euler formula and the De-Moivre formula for the matrices associated with quaternions are studied. It is shown that the De-Moivre formula implies that there are uncountably many matrices of unit quaternions satisfying \(A^n=I_4\) for \(n\geq 3\).

MSC:

30G35 Functions of hypercomplex variables and generalized variables