Projective Geometric Algebra as a Subalgebra of Conformal Geometric algebra

2020/02/14 by Navrat, Ales, Hrdina, Jaroslav, Vasik, Petr +1
#15A66 #51N25 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2002.05993

Abstract

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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