Oscar1778

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Name Oscar1778
Member for 4 months
Seen May 21 at 9:59
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Feb
2
asked Cohomology of fine Grassmannian manifold
Jan
24
comment Lie groups bundle
In my situation $G=U(n)$ and $K=N_{G}(T)$ is the normalizer of $T$ in $U(n)$ and $T$ is a maximal torus in $U(n)$ (i.e. the subgroup of diagonal matrix). So I ask you if $U(n) \rightarrow U(n)/N_{G}(T)$ is a principal $N_{G}(T)$-bundle (i.e. $N_{G}(T)$ acts freely on U(n)). Thaks.
Jan
24
awarded  Student
Jan
24
asked Lie groups bundle
Jan
20
comment Cohomology of Grassmannian and equivariant cohomology
But the isomorfism is $H^{*}(G_r()\infty)\simeq \mathbb{C}[x_{1}^(2), \cdots, x_{n}^{2}]$?
Jan
20
asked Cohomology of Grassmannian and equivariant cohomology
Jan
13
asked On direct limit of Stiefel mainfold
Jan
13
answered Cohomology of quotient space