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gptkbp:instanceOf
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gptkb:algebraic_geometry
gptkb:mathematical_concept
|
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gptkbp:category
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gptkb:geometry
gptkb:mathematics
|
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gptkbp:compact
|
yes
|
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gptkbp:coordinates
|
gptkb:Plücker_coordinates
|
|
gptkbp:describes
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space of all k-dimensional linear subspaces of an n-dimensional vector space
|
|
gptkbp:dimensionFormula
|
k(n-k)
|
|
gptkbp:field
|
gptkb:algebraic_geometry
differential geometry
representation theory
|
|
gptkbp:generalizes
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gptkb:geometry
|
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gptkbp:hasSpecialCase
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gptkb:geometry
|
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gptkbp:homogeneousSpaceOf
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gptkb:general_linear_group
orthogonal group
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|
https://www.w3.org/2000/01/rdf-schema#label
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Grassmannians
|
|
gptkbp:namedAfter
|
gptkb:Hermann_Grassmann
|
|
gptkbp:notation
|
Gr(k, n)
|
|
gptkbp:relatedTo
|
gptkb:Plücker_embedding
gptkb:Stiefel_manifold
gptkb:Lagrangian_Grassmannian
gptkb:orthogonal_Grassmannian
flag manifold
flag variety
|
|
gptkbp:structure
|
gptkb:algebraic_geometry
gptkb:Riemannian_manifold
Kähler manifold
real manifold
|
|
gptkbp:studiedBy
|
gptkb:Hermann_Grassmann
|
|
gptkbp:usedIn
|
gptkb:Schubert_calculus
gptkb:quantum_cohomology
moduli spaces
enumerative geometry
|
|
gptkbp:bfsParent
|
gptkb:Schubert_calculus
gptkb:homogeneous_spaces
|
|
gptkbp:bfsLayer
|
6
|