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The geometric algebraCℓ 3 as a model for a projective plane

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Abstract

We show that the geometric algebraCℓ 3 can be used as a model for the real projective plane, in the sense that the axioms defining the plane and their duals can be proved as theorems. However, it seems that there is some difficulty in using a geometric algebra to model a projective space over a noncommutative division ring.

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  1. Department of Mathematics, Widener University, 19013-5792, Chester, PA, USA

    Richard C. Pappas

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  1. Richard C. Pappas
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Correspondence to Richard C. Pappas.

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Pappas, R.C. The geometric algebraCℓ 3 as a model for a projective plane. AACA 11, 1–13 (2001). https://doi.org/10.1007/BF03042035

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  • DOI: https://doi.org/10.1007/BF03042035

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