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gptkbp:instanceOf
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gptkb:algebraic_geometry
gptkb:mathematical_concept
gptkb:homogeneous_space
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gptkbp:describes
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space of all Lagrangian subspaces of a symplectic vector space
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gptkbp:dimensions
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n(n+1)/2
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gptkbp:field
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gptkb:algebraic_geometry
gptkb:mathematics
differential geometry
symplectic geometry
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gptkbp:has_complex_form
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complex Lagrangian Grassmannian
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gptkbp:has_real_form
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real Lagrangian Grassmannian
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gptkbp:heldBy
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gptkb:symmetric_space
gptkb:Riemannian_manifold
gptkb:projective_variety
gptkb:Kähler_manifold
gptkb:moduli_space
gptkb:compact_Hermitian_symmetric_space
flag variety
parameter space
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gptkbp:isQuotientOf
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symplectic group Sp(2n)
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gptkbp:notation
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Lag(n,2n)
Λ(n)
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gptkbp:quotient_by
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gptkb:unitary_group_U(n)
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gptkbp:relatedTo
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symplectic vector space
Lagrangian subspace
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gptkbp:subclassOf
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gptkb:Grassmannian
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gptkbp:used_in
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gptkb:mirror_symmetry
representation theory
moduli theory
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gptkbp:bfsParent
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gptkb:Grassmannians
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gptkbp:bfsLayer
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7
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https://www.w3.org/2000/01/rdf-schema#label
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Lagrangian Grassmannian
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