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Results tagged with symmetric-spaces
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user 16002
A symmetric space is a connected Riemannian manifold in which at every point there exists a global self-isometry whose differential at the given point is minus identity.
2
votes
0
answers
126
views
Seeking a generalization of group embedding of symmetric varieties
I am looking for generalizations of the following construction.
Let $G$ be a connected, reductive group and let $\theta : G \rightarrow G$ be an involution. Let $H = G^{\theta}$ be the subgroup of $ …
- 1,780
2
votes
Accepted
Chains in $K\backslash G/B$ lying over a closed $K$-orbit
Malheureusement, this is not true, not even for the weak order. This can be seen for example when $G = GL(4)$ and $K = GL(2) \times GL(2)$. Then $K \backslash G / B$ is parameterized by involutions …
- 1,780
2
votes
Covering relations in $K\backslash G/B$
While the paper of Richardson-Springer does study the weak order, it also has useful results on the usual (strong) Bruhat order. In particular, Theorem 7.11 says that Bruhat order is characterized as …
- 1,780