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arXiv · 1005.3192

Associative Geometries. I: Torsors, linear relations and Grassmannians

Wolfgang Bertram·Michael Kinyon
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Abstract

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.

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Wolfgang Bertram, Michael Kinyon. 2010-05-18. Associative Geometries. I: Torsors, linear relations and Grassmannians. https://arxiv.org/abs/1005.3192

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