实复合代数的初等导子
Elementary Derivations of the Real Composition Algebras
摘要：
“再访实赋范代数”是已故加迪·莫兰的最后一篇论文，它试图只用19世纪数学家所知的知识来重建复数、四元数和八元数的发现，以及它们的性质的证明。在他的研究中，加迪发现了简单而优雅的证明上述经典结果只使用基本性质的几何欧几里得空间和工具，从高中几何。他的重建强调了欧几里德几何和这些代数之间有趣的联系，并避免了先进的机械使用在以前的推导这些结果。本文的目标是以广大读者都能理解的方式呈现加迪的推导。
英文摘要：
``Real Normed Algebras Revisited,'' the last paper of the late Gadi Moran, attempts to reconstruct the discovery of the complex numbers, the quaternions and the octonions, as well as proofs of their properties, using only what was known to 19th century mathematicians. In his research, Gadi had discovered simple and elegant proofs of the above-mentioned classical results using only basic properties of the geometry of Euclidean spaces and tools from high school geometry. His reconstructions underline an interesting connection between Euclidean geometry and these algebras, and avoid the advanced machinery used in previous derivations of these results. The goal of this article is to present Gadi's derivations in a way that is accessible to a wide audience of readers.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
