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Allen Knutson
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Let $G$ be a reductive group, andlet $B$ isbe one of it'sits Borel subgroupsubgroups, and $T$ isbe a torus in $B$. $G/B$ is it'sits flag variety. Let $y,w$ be two T-fixed points in $G/B$. Let $\mathcal{O}_{y,w}$ be the $B$-orbit of $(y,w)$ in $G/B \times G/B$.

I want to understand the geometry of the closure of $\mathcal{O}_{y,w}$ in $G/B \times G/B$.

Where can I find the reference?

Thanks in advance.

EDIT: $T$ is a maximal torus.

Let $G$ be a reductive group, and $B$ is one of it's Borel subgroup, and $T$ is a torus in $B$. $G/B$ is it's flag variety. Let $y,w$ be two T-fixed points in $G/B$. Let $\mathcal{O}_{y,w}$ be the $B$-orbit of $(y,w)$ in $G/B \times G/B$.

I want to understand the geometry of closure of $\mathcal{O}_{y,w}$ in $G/B \times G/B$.

Where can I find the reference?

Thanks in advance.

Let $G$ be a reductive group, let $B$ be one of its Borel subgroups, and $T$ be a torus in $B$. $G/B$ is its flag variety. Let $y,w$ be two T-fixed points in $G/B$. Let $\mathcal{O}_{y,w}$ be the $B$-orbit of $(y,w)$ in $G/B \times G/B$.

I want to understand the geometry of the closure of $\mathcal{O}_{y,w}$ in $G/B \times G/B$.

Where can I find the reference?

Thanks in advance.

EDIT: $T$ is a maximal torus.

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The geometry of closure of orbit of Borel subgroup in G/B X× G/B.

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JJH
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Let $G$ be a reductive group, and $B$ is one of it's Borel subgroup, and $T$ is a torus in $B$. $G/B$ is it's flag variety. Let $y,w$ be two T-fixed points in $G/B$. Let $\mathcal{O}_{y,w}$ be the $B$-orbit of $(y,w)$ in $G/B \times G/B$.

I want to understand the geometry of closure of $\overline{\mathcal{O}}_{y,w}$$\mathcal{O}_{y,w}$ in $G/B \times G/B$.

Where can I find the reference?

Thanks in advance.

Let $G$ be a reductive group, and $B$ is one of it's Borel subgroup, and $T$ is a torus in $B$. $G/B$ is it's flag variety. Let $y,w$ be two T-fixed points in $G/B$. Let $\mathcal{O}_{y,w}$ be the $B$-orbit of $(y,w)$ in $G/B \times G/B$.

I want to understand the geometry of $\overline{\mathcal{O}}_{y,w}$.

Where can I find the reference?

Let $G$ be a reductive group, and $B$ is one of it's Borel subgroup, and $T$ is a torus in $B$. $G/B$ is it's flag variety. Let $y,w$ be two T-fixed points in $G/B$. Let $\mathcal{O}_{y,w}$ be the $B$-orbit of $(y,w)$ in $G/B \times G/B$.

I want to understand the geometry of closure of $\mathcal{O}_{y,w}$ in $G/B \times G/B$.

Where can I find the reference?

Thanks in advance.

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JJH
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