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In page Quaternion:

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There are several advantages for placing quaternions in this wider setting:[1]

  • Rotor-encoded transformations make interpolation particularly straightforward.
  • Rotors carry over naturally to pseudo-Euclidean spaces, for example, the Minkowski space of special relativity. In such spaces rotors can be used to efficiently represent Lorentz boosts, and to interpret formulas involving the gamma matrices.[citation needed]