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Questions about the branch of algebra that deals with groups.

2 votes
1 answer
235 views

Unitary orbits on the Grassmann manifold of 2-planes in complex affine space

The unitary group, $U(n)$, acts transitively on the Grassmann manifold $X = Gr(2, C^n)$. The isotropy group is $H = U(2)\times U(n-2)$, i.e. the group elements leaving some $x$ fixed. What are the d …