ISBN: | 978-5-5108-0904-6 |
High Quality Content by WIKIPEDIA articles! In mathematics, the term affine Grassmannian has two distinct meanings. In one meaning the affine Grassmannian (manifold) is the manifold of all k-dimensional affine subspaces of a finite dimensional vector space, while (described here) the affine Grassmannian of an algebraic group G over a field k is defined in one of two ways: