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Allen Knutson
Allen Knutson
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is the Is this affine-subspace analogue of a Grassmannian a classifying space?

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Shi Q.
Shi Q.
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Let $AG_k(\mathbb{R}^N)$ be the affine Grassmannian"affine Grassmannian" consisting of $k$-dimensional hyperplanes (i.e. affine subspaces) in $\mathbb{R}^N$. Is there any relation between $AG_k(\mathbb{R}^N)$ and the usual Grassmannian? Is $AG_k(\mathbb{R}^N)$ a classifying space of any Lie groups?

Let $AG_k(\mathbb{C}^N)$ be the affine Grassmannian"affine Grassmannian" consisting of $k$-dimensional complex hyperplanes in $\mathbb{C}^N$. Is there any relation between $AG_k(\mathbb{C}^N)$ and the usual complex Grassmannian? Is $AG_k(\mathbb{C}^N)$ a classifying space of any Lie groups?

Let $AG_k(\mathbb{R}^N)$ be the affine Grassmannian consisting of $k$-dimensional hyperplanes in $\mathbb{R}^N$. Is there any relation between $AG_k(\mathbb{R}^N)$ and the usual Grassmannian? Is $AG_k(\mathbb{R}^N)$ a classifying space of any Lie groups?

Let $AG_k(\mathbb{C}^N)$ be the affine Grassmannian consisting of $k$-dimensional complex hyperplanes in $\mathbb{C}^N$. Is there any relation between $AG_k(\mathbb{C}^N)$ and the usual complex Grassmannian? Is $AG_k(\mathbb{C}^N)$ a classifying space of any Lie groups?

Let $AG_k(\mathbb{R}^N)$ be the "affine Grassmannian" consisting of $k$-dimensional hyperplanes (i.e. affine subspaces) in $\mathbb{R}^N$. Is there any relation between $AG_k(\mathbb{R}^N)$ and the usual Grassmannian? Is $AG_k(\mathbb{R}^N)$ a classifying space of any Lie groups?

Let $AG_k(\mathbb{C}^N)$ be the "affine Grassmannian" consisting of $k$-dimensional complex hyperplanes in $\mathbb{C}^N$. Is there any relation between $AG_k(\mathbb{C}^N)$ and the usual complex Grassmannian? Is $AG_k(\mathbb{C}^N)$ a classifying space of any Lie groups?

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Shi Q.
Shi Q.
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is the affine Grassmannian a classifying space?

Let $AG_k(\mathbb{R}^N)$ be the affine Grassmannian consisting of $k$-dimensional hyperplanes in $\mathbb{R}^N$. Is there any relation between $AG_k(\mathbb{R}^N)$ and the usual Grassmannian? Is $AG_k(\mathbb{R}^N)$ a classifying space of any Lie groups?

Let $AG_k(\mathbb{C}^N)$ be the affine Grassmannian consisting of $k$-dimensional complex hyperplanes in $\mathbb{C}^N$. Is there any relation between $AG_k(\mathbb{C}^N)$ and the usual complex Grassmannian? Is $AG_k(\mathbb{C}^N)$ a classifying space of any Lie groups?