Affine and Projective Geometries

  • Boris Rosenfeld
Chapter
Part of the Mathematics and Its Applications book series (MAIA, volume 393)

Abstract

In 0.1.6 we have defined the real linear spaces L n. If in this definition we replace the field ℝ of real numbers by the field ℂ of complex numbers or by the skew field ℍ of quaternions, we obtain the complex linear space ℂL n or quaternionic linear space ℍL n. We have mentioned the space ℂL n in 1.6.1. Since ℍ is noncommutative, in the products (0.7) of a vector a and a quaternionic scalar λ, the scalar must always be at the right of the vector.

Keywords

Projective Space Singular Vector Division Algebra Affine Transformation Projective Geometry 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media Dordrecht 1997

Authors and Affiliations

  • Boris Rosenfeld
    • 1
  1. 1.Department of MathematicsPennsylvania State UniversityUniversity ParkUSA

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