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- Schubert_variety abstract "In algebraic geometry, a Schubert variety is a certain subvariety of a Grassmannian, usually with singular points. Described by means of linear algebra, a typical example consists of the k-dimensional subspaces V of an n dimensional vector space W, such thatfor j = 1, 2, ..., k, whereis a certain flag of subspaces in W and 0 < a1 < ... < ak ≤ n. More generally, given a semisimple algebraic group G with a Borel subgroup B and a standard parabolic subgroup P, it is known that the homogeneous space X = G/P, which is an example of a flag variety, consists of finitely many B-orbits that may be parametrized by certain elements of the Weyl group W. The closure of the B-orbit associated to an element w of the Weyl group is denoted by Xw and is called a Schubert variety in G/P. The classical case corresponds to G = SLn and P being the kth maximal parabolic subgroup of G.".
- Schubert_variety wikiPageID "10469987".
- Schubert_variety wikiPageRevisionID "586967742".
- Schubert_variety author "A.L. Onishchik".
- Schubert_variety hasPhotoCollection Schubert_variety.
- Schubert_variety id "S/s083430".
- Schubert_variety title "Schubert variety".
- Schubert_variety subject Category:Algebraic_combinatorics.
- Schubert_variety subject Category:Algebraic_geometry.
- Schubert_variety subject Category:Commutative_algebra.
- Schubert_variety subject Category:Representation_theory.
- Schubert_variety comment "In algebraic geometry, a Schubert variety is a certain subvariety of a Grassmannian, usually with singular points. Described by means of linear algebra, a typical example consists of the k-dimensional subspaces V of an n dimensional vector space W, such thatfor j = 1, 2, ..., k, whereis a certain flag of subspaces in W and 0 < a1 < ... < ak ≤ n.".
- Schubert_variety label "Schubert variety".
- Schubert_variety sameAs m.02qf1ky.
- Schubert_variety sameAs Q7432938.
- Schubert_variety sameAs Q7432938.
- Schubert_variety wasDerivedFrom Schubert_variety?oldid=586967742.
- Schubert_variety isPrimaryTopicOf Schubert_variety.