Grassmannian
Grassmannian In mathematics, a Grassmannian is the space of all k-dimensional ... V) or simply G k,n . The Grassmannian is named after Hermann Grassmann. The Grassmannian G 1 (V) is just the space ... of projective space. When k = 2, the Grassmannian is the space of all planes ...
http://en.wikipedia.org/wiki/Grassmannian - 7k - Cached - Similar pages

Lagrangian Grassmannian
Lagrangian Grassmannian In mathematics, the Lagrangian Grassmannian is the smooth manifold of Lagrangian subspaces ...
http://en.wikipedia.org/wiki/Lagrangian_Grassmannian - 3k - Cached - Similar pages

List of simple Lie groups
... Kähler if p or q is 2. Grassmannian of p subspaces of C p+q ... Kähler if p or q is 2. Grassmannian of maximal positive definite subspaces of C ... of symmetric space: pq Compact symmetric space: Grassmannian of R p s in R p ... q is 2. Non-compact symmetric space: Grassmannian of positive definite R p s in ... of symmetric space: 4pq Compact symmetric space: Grassmannian of H p s in H ...
http://en.wikipedia.org/wiki/List_of_simple_Lie_groups - 35k - Cached - Similar pages

Talk:Gauss map
Talk:Gauss map The Grassmannian page does talk about unoriented k-subspaces ... reminding me of that. I have changed grassmannian to oriented grassmannian, though I am not sure of the ... that in the litterature, both are called grassmannian, with definition depending on context. I wonder ... we should expand on that notion in Grassmannian ... Good editing work too: it does ...
http://en.wikipedia.org/wiki/Talk:Gauss_map - 3k - Cached - Similar pages

Tautological bundle
... particularly natural vector bundle occurring over a Grassmannian, and more specially over projective space. Canonical ... vector space W. If G is a Grassmannian, and V g is the subspace of ...
http://en.wikipedia.org/wiki/Tautological_bundle - 3k - Cached - Similar pages

User talk:Hillman/Archive0
... which would be tied more to the Grassmannian article. Currently it gets a brief mention ... about (e.g., the geometry of the Grassmannian manifold alluded to above), and while we ...
http://en.wikipedia.org/wiki/User_talk:Hillman/Archive0 - 71k - Cached - Similar pages

Plücker coordinates
... math> where Gr(n,N) is the Grassmannian, i.e. the space of all n ... N = 4. In the general context, the Grassmannian can be completely characterised as an intersection ...
http://en.wikipedia.org/wiki/Plücker_coordinates - 9k - Cached - Similar pages

Category:Topology of homogeneous spaces
... this section of this category. L Lagrangian Grassmannian S Schubert calculus
http://en.wikipedia.org/wiki/Category:Topology_of_homogeneous_spaces - 0k - Cached - Similar pages

Schubert calculus
... structure in the cohomology ring of the Grassmannian of associated cohomology classes, in principle allows ...
http://en.wikipedia.org/wiki/Schubert_calculus - 2k - Cached - Similar pages

Category:Manifolds
... Topological manifold C Calabi-Yau manifold G Grassmannian L Lens space Lie group N Novikov ...
http://en.wikipedia.org/wiki/Category:Manifolds - 1k - Cached - Similar pages