Projective Geometric Algebra as a Subalgebra for Conformal Geometric Algebra
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| Publication date | 04-2021 |
| Journal | Advances in Applied Clifford Algebras |
| Article number | 18 |
| Volume | Issue number | 31 | 2 |
| Number of pages | 14 |
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| Abstract | We show that if Projective Geometric Algebra (PGA), i.e. the geometric algebra with degenerate signature (n, 0, 1), is understood as a subalgebra of Conformal Geometric Algebra (CGA) in a mathematically correct sense, then flat primitives share the same representation in PGA and CGA. Particularly, we treat duality in PGA in the framework of CGA. This leads to unification of PGA and CGA primitives which is important especially for software implementation and symbolic calculations. |
| Document type | Article |
| Language | English |
| Published at | https://doi.org/10.1007/s00006-021-01118-7 |
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