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Results tagged with homogeneous-spaces
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user 5107
8
votes
Flag manifolds as incidence correspondences
The "incidence" relation (at least for types $E_6$ and $E_7$) for all pairs of vertices $i$, $j$ is described in S. Garibaldi, M. Carr "Geometries, the principle of duality, and algebraic groups", Exp …
- 1,602
4
votes
Accepted
Explicit description of SU(2,2)/U
I guess your variety is just the variety of pairs of ${\mathbb C}$-linearly independent vectors in ${\mathbb C}^4$ that are isotropic with respect to this Hermitian form and orthogonal to each other. …
- 1,602
10
votes
Embeddings of flag manifolds
In general there is a more efficient way: $a_1,\ldots,a_k$ determines a Young diagram, and you can realize the flag variety as the stabilizer of a point in the unique closed orbit of ${\mathbb P}(U)$, …
- 1,602