Starting with the complexes, quaternions and the octonions we study five families of groups and homogeneous spaces each building geometrically on the previous families. For each family a particular theorem is studied from the perspective of the structure developed. The evolution of the spaces and the corresponding results form a sort of mathematical memoir of a career spanning more than 50 years.

中文翻译：

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基于试验的六个阶段的演变：数学回忆录

从复数、四元数和八元数开始，我们研究了五个群族和同质空间，每个族在几何上都建立在前一个族的基础上。对于每个族，从所开发的结构的角度研究一个特定的定理。空间的演变和相应的结果形成了一种跨越 50 多年的职业生涯的数学回忆录。