Papers › Projective Geometric Algebra as a Subalgebra of Conformal Geometric algebra

Projective Geometric Algebra as a Subalgebra of Conformal Geometric algebra

14 Feb 2020arXiv:2002.05993links table onlyarchive 2025-07-28

Ales Navrat, Jaroslav Hrdina, Petr Vasik, Leo Dorst

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We show that if PGA is understood as a subalgebra of CGA in mathematically correct sense, then the flat objects share the same representation in PGA and CGA. Particularly, we treat duality in PGA. This leads to unification of PGA and CGA objects which is important especially for software implementation and symbolic calculations.

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