论文标题
遗ian对称空间中的同质交换性
Homotopy commutativity in Hermitian symmetric spaces
论文作者
论文摘要
Ganea证明了$ \ Mathbb {C} p^n $的环空间在且仅当$ n = 3 $时是同质的。我们将此结果推广到所有不可约的遗式对称空间的循环空间，但是$ \ mathbb {c} p^3 $不是同质的交换。该计算还适用于确定标志歧管的环路的同质差异。
Ganea proved that the loop space of $\mathbb{C}P^n$ is homotopy commutative if and only if $n=3$. We generalize this result to that the loop spaces of all irreducible Hermitian symmetric spaces but $\mathbb{C}P^3$ are not homotopy commutative. The computation also applies to determining the homotopy nilpotency of the loop spaces of flag manifolds.
