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Equivariant formality of isotropy actions

Equivariant formality of isotropy actions

Let $G$ be a compact connected Lie group and $K$ a connected Lie subgroup. In this paper, we collect an assortment of results on equivariant formality of the isotropy action of $K$ on $G/K$ and thus improving those from previous work. We show that if the isotropy action of $K$ …