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- Grassmannian abstract "In mathematics, the Grassmannian Gr(k, V) is a space which parameterizes all linear subspaces of a vector space V of given dimension k. For example, the Grassmannian Gr(1, V) is the space of lines through the origin in V, so it is the same as the projective space of one dimension lower than V.When V is a real or complex vector space, Grassmannians are compact smooth manifolds. In general they have the structure of a smooth algebraic variety.The earliest work on a non-trivial Grassmannian is due to Julius Plücker, who studied the set of lines in projective 3-space and parameterized them by what are now called Plücker coordinates. Grassmannians are named after Hermann Grassmann, who introduced the concept in general.Notations vary between authors, with Gr(V, k) being equivalent to Gr(k, V), and with some authors using Gr(k, n) or Gr(n, k) to denote the Grassmannian of k-dimensional subspaces of an unspecified n-dimensional vector space.".
- Grassmannian wikiPageExternalLink 9312104.
- Grassmannian wikiPageExternalLink VBpage.html.
- Grassmannian wikiPageID "373810".
- Grassmannian wikiPageRevisionID "596110453".
- Grassmannian hasPhotoCollection Grassmannian.
- Grassmannian subject Category:Algebraic_geometry.
- Grassmannian subject Category:Algebraic_homogeneous_spaces.
- Grassmannian subject Category:Differential_geometry.
- Grassmannian subject Category:Projective_geometry.
- Grassmannian type Abstraction100002137.
- Grassmannian type AlgebraicHomogeneousSpaces.
- Grassmannian type Attribute100024264.
- Grassmannian type Space100028651.
- Grassmannian comment "In mathematics, the Grassmannian Gr(k, V) is a space which parameterizes all linear subspaces of a vector space V of given dimension k. For example, the Grassmannian Gr(1, V) is the space of lines through the origin in V, so it is the same as the projective space of one dimension lower than V.When V is a real or complex vector space, Grassmannians are compact smooth manifolds.".
- Grassmannian label "Grasmaniano".
- Grassmannian label "Grassmanniaan".
- Grassmannian label "Grassmannian".
- Grassmannian label "Grassmanniana".
- Grassmannian label "Grassmannienne".
- Grassmannian label "Graßmann-Mannigfaltigkeit".
- Grassmannian label "Грассманиан".
- Grassmannian label "格拉斯曼流形".
- Grassmannian sameAs Graßmann-Mannigfaltigkeit.
- Grassmannian sameAs Grasmaniano.
- Grassmannian sameAs Grassmannienne.
- Grassmannian sameAs Grassmanniana.
- Grassmannian sameAs Grassmanniaan.
- Grassmannian sameAs m.020sgw.
- Grassmannian sameAs Q129638.
- Grassmannian sameAs Q129638.
- Grassmannian sameAs Grassmannian.
- Grassmannian wasDerivedFrom Grassmannian?oldid=596110453.
- Grassmannian isPrimaryTopicOf Grassmannian.