Considering the potential equivariant formality of the left action of a connected Lie group K on the homogeneous space G / K, we arrive through a sequence of reductions at the case G is compact and simply-connected and K is a torus. We then classify all pairs (G, S) such that G is compact connected Lie and the embedded circular subgroup S acts equivariantly formally on G / S. In the process we provide what seems to be the first published proof of the structure (known to Leray and Koszul) of the cohomology rings

中文翻译：

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各向同性环面作用的等形式

考虑连接的李群的左侧动作的电势等变形式ķ上均匀空间ģ  /  ķ，我们得出在通过的情况下的减少的序列ģ是紧凑和简单连接和ķ是环面。然后我们对所有对（G，S）进行分类， 使得G是紧密连接的Lie，并且嵌入的圆形子群S在G  /  S上均等地作用。在此过程中，我们提供了有关同调环结构（Leray和Koszul已知）的第一个公开证明。