• In mathematics, the Grassmannian G r k ( V ) {\displaystyle \mathbf {Gr} _{k}(V)} (named in honour of Hermann Grassmann) is a differentiable manifold that...
    48 KB (8,384 words) - 01:08, 26 September 2024
  • In mathematics, a Grassmannian may refer to: Affine Grassmannian Affine Grassmannian (manifold) Grassmannian, the classical parameter space for linear...
    594 bytes (96 words) - 19:09, 12 October 2019
  • In mathematics, the Lagrangian Grassmannian is the smooth manifold of Lagrangian subspaces of a real symplectic vector space V. Its dimension is ⁠1/2⁠n(n...
    5 KB (713 words) - 23:31, 18 January 2023
  • In mathematics, the affine Grassmannian of an algebraic group G over a field k is an ind-scheme—a colimit of finite-dimensional schemes—which can be thought...
    3 KB (442 words) - 08:56, 7 November 2023
  • Thumbnail for Amplituhedron
    amplituhedron is defined as a mathematical space known as the positive Grassmannian. Amplituhedron theory challenges the notion that spacetime locality and...
    9 KB (961 words) - 20:48, 17 May 2024
  • space BU is the classifying space for stable complex vector bundles (a Grassmannian in infinite dimensions). One formulation of Bott periodicity describes...
    13 KB (1,836 words) - 00:12, 31 October 2024
  • In mathematics, there are two distinct meanings of the term affine Grassmannian. In one it is the manifold of all k-dimensional affine subspaces of Rn...
    4 KB (599 words) - 23:23, 24 September 2021
  • Thumbnail for Homogeneous space
    point stabilizer general linear group): An = Aff(n, K) / GL(n, K). Grassmannian: Gr(r, n) = O(n) / (O(r) × O(n − r)) Topological vector spaces (in the...
    15 KB (1,821 words) - 03:07, 6 August 2024
  • 1 ( x ) = G d ( E x ) {\displaystyle p^{-1}(x)=G_{d}(E_{x})} is the Grassmannian of the d-dimensional vector subspaces of E x {\displaystyle E_{x}} ....
    3 KB (520 words) - 02:01, 21 October 2022
  • bundle is a vector bundle occurring over a Grassmannian in a natural tautological way: for a Grassmannian of k {\displaystyle k} -dimensional subspaces...
    14 KB (2,441 words) - 11:51, 28 December 2023