论文标题
射影几何代数作为保形几何代数的亚代数
Projective Geometric Algebra as a Subalgebra of Conformal Geometric algebra
论文作者
论文摘要
我们表明，如果将PGA理解为在数学上正确的意义上是CGA的子代理，则平坦对象在PGA和CGA中共享相同的表示。特别是，我们在PGA中对待二元性。这导致PGA和CGA对象的统一，这对于软件实施和符号计算非常重要。
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.
