论文标题
E6型建筑物中F4的拆分建筑物
Split buildings of type F4 in buildings of type E6
论文作者
论文摘要
E6型建筑物δ的符号极性是极性的固定点结构是F4型的建筑物，其中包含残基与象征性极性空间同构（即，F4型的所谓拆分建筑物）。在本文中，我们以几何方式显示，E6型的每座建筑都包含一类独特的符号性极性。我们还表明，在δ的自然点线几何形状中完全嵌入的每个型F4的分裂建筑物的自然点线几何形状源于象征性极性。
A symplectic polarity of a building Δ of type E6 is a polarity whose fixed point structure is a building of type F4 containing residues isomorphic to symplectic polar spaces (i.e., so-called split buildings of type F4). In this paper, we show in a geometric way that every building of type E6 contains, up to conjugacy, a unique class of symplectic polarities. We also show that the natural point-line geometry of each split building of type F4 fully embedded in the natural point-line geometry of Δ arises from a symplectic polarity.
