projective geometry中产生的Torsors和三元Moufang环
Torsors and ternary Moufang loops arising in projective geometry
摘要:
我们给出了一个解释的建设torsors从以前的工作(伯特伦,Kinyon:联想几何。I,J. Lie Theory 20)in terms of classical projective geometry.对于Deskiesian的情况,这导致了lot.cit.的某些结果的重新表述,而牟方案的结果是新的。但是,即使在德塞里奥斯的情况下,它也揭示了射影空间的格结构和代数结构之间的关系。
英文摘要:
We give an interpretation of the construction of torsors from preceding work (Bertram, Kinyon: Associative Geometries. I, J. Lie Theory 20) in terms of classical projective geometry. For the Desarguesian case, this leads to a reformulation of certain results from lot.cit., whereas for the Moufang case the result is new. But even in the Desarguesian case it sheds new light on the relation between the lattice structure and the algebraic structures of a projective space.
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