Affine and Projective Geometries
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.
KeywordsProjective Space Singular Vector Division Algebra Affine Transformation Projective Geometry
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