The correspondence found by Faulkner between inner ideals of the Lie algebra of a simple algebraic group and shadows on the set of long root groups of the building associated with the algebraic group is shown to hold in greater generality (in particular, over fields of characteristic distinct from two).

中文翻译：

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李代数和球形建筑的内理想

福克纳发现的简单代数群的李代数的内在理想与与该代数群相关的建筑物的长根群集上的阴影之间的对应关系被证明具有更大的普遍性（特别是在特征明显的域上）从两个）。