Projective Geometric Algebra as a Subalgebra of Conformal Geometric algebra
Algebraic Geometry
2020-05-05 v3
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.
Keywords
Cite
@article{arxiv.2002.05993,
title = {Projective Geometric Algebra as a Subalgebra of Conformal Geometric algebra},
author = {Ales Navrat and Jaroslav Hrdina and Petr Vasik and Leo Dorst},
journal= {arXiv preprint arXiv:2002.05993},
year = {2020}
}