论文标题
几何数字表周期表
Periodic Table of Geometric Numbers
论文作者
论文摘要
也许化学和物理学上最重要的（即使不是最重要的）成就是化学元素和物理学基本颗粒的标准模型的周期表。数学上的一个可比成就是此处讨论的几何数字的周期表。 1878年，威廉·金登·克利福德（William Kingdon Clifford）发现了他所谓的几何代数的定义规则。我们展示了这些代数及其坐标的同构几何矩阵代数如何落入自然元素周期表中，从而基于张量代数和二次形式将多余的定义放在多余的定义中。
Perhaps the most significant, if not the most important, achievements in chemistry and physics are the Periodic Table of the Elements in Chemistry and the Standard Model of Elementary Particles in Physics. A comparable achievement in mathematics is the Periodic Table of Geometric Numbers discussed here. In 1878 William Kingdon Clifford discovered the defining rules for what he called geometric algebras. We show how these algebras, and their coordinate isomorphic geometric matrix algebras, fall into a natural periodic table, sidelining the superfluous definitions based upon tensor algebras and quadratic forms.
