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Square Roots of –1 in Real Clifford Algebras

  • Hitzer E
  • Helmstetter J
  • Abłamowicz R
Springer Basel, (2013), 123-153
DOI: 10.1007/978-3-0348-0603-9_7
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Abstract

It is well known that Clifford (geometric) algebra offers a geometric interpretation for square roots of –1in the form of blades that square to minus 1. This extends to a geometric interpretation of quaternions as the side face bivectors of a unit cube....

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Hitzer, E., Helmstetter, J., & Abłamowicz, R. (2013). Square Roots of –1 in Real Clifford Algebras. In Quaternion and Clifford Fourier Transforms and Wavelets (pp. 123–153). Springer Basel. https://doi.org/10.1007/978-3-0348-0603-9_7

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