关联几何。I：Torsors，线性关系和Grassmannian
Associative Geometries. I: Torsors, linear relations and Grassmannians
摘要：
我们定义并研究了一个几何对象，称为关联几何，对应于一个结合代数（更一般地说，对应于一个结合对）。结合几何结合了李群和广义射影几何的方面，其中前者对应于结合代数的李积，后者对应于它的约当积。包含对合结合代数的理论的进一步发展将在随后的工作中给出。
英文摘要：
We define and investigate a geometric object, called an associative geometry, corresponding to an associative algebra (and, more generally, to an associative pair). Associative geometries combine aspects of Lie groups and of generalized projective geometries, where the former correspond to the Lie product of an associative algebra and the latter to its Jordan product. A further development of the theory encompassing involutive associative algebras will be given in subsequent work.
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。
