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Generalized de Moivre’s theorem, quaternions, and Lorentz transformations on a Minkowski space. (English) Zbl 0785.15004

A generalized De Moivre formula is got and used to find the structure of the Minkowski space of quaternion-like operators. The automorphisms of this space are shown to be Lorentz transformations.
Rotations in a Minkowski space are shown to depend only on the linear algebra of the linear transformations or operators of a two-dimensional unitary space.
Reviewer: S.Sridhar (Madras)

MSC:

15B33 Matrices over special rings (quaternions, finite fields, etc.)
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