Timeline for Is the object we get when we quotient $U(N)$ by $U(N-k)$ familar?
Current License: CC BY-SA 2.5
13 events
when toggle format | what | by | license | comment | |
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Sep 22, 2010 at 21:36 | comment | added | Abtan Massini | Sorry about that, it's fixed nox | |
Sep 22, 2010 at 21:35 | history | edited | Abtan Massini | CC BY-SA 2.5 |
deleted 4 characters in body
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Sep 22, 2010 at 19:20 | comment | added | José Figueroa-O'Farrill | Could you please not write $\otimes$ for $\times$? | |
Sep 22, 2010 at 16:05 | vote | accept | Abtan Massini | ||
Sep 22, 2010 at 16:05 | comment | added | Abtan Massini | Are you sure? I don't see that at all. How, for example, is the three sphere $S^3$ a Grassmannian? | |
Sep 22, 2010 at 15:29 | comment | added | Sean Tilson | It is a different Grassmanian. | |
Sep 22, 2010 at 15:22 | answer | added | Charles Matthews | timeline score: 3 | |
Sep 22, 2010 at 14:39 | comment | added | Abtan Massini | Or maybe the first to answer the generalised version... | |
Sep 22, 2010 at 14:38 | history | edited | Abtan Massini | CC BY-SA 2.5 |
Generalisation of the question
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Sep 22, 2010 at 14:18 | comment | added | Abtan Massini | Great, thanks for that. Charles, seeing as you got there first, enter your response as an answer and I'll mark as accepted. | |
Sep 22, 2010 at 14:13 | comment | added | user1504 | The homogeneous spaces you describe are called Stiefel manifolds. They're well known in algebraic topology, but not always isomorphic to more elementary manifolds. | |
Sep 22, 2010 at 14:12 | comment | added | Charles Matthews | Putting a name to the space, it's a complex Stiefel manifold. See en.wikipedia.org/wiki/Stiefel_manifold#As_a_homogeneous_space . | |
Sep 22, 2010 at 14:05 | history | asked | Abtan Massini | CC BY-SA 2.5 |