Statements (32)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:algebraic_geometry
gptkb:mathematical_concept homogeneous space |
| gptkbp:describes |
space of all Lagrangian subspaces of a symplectic vector space
|
| gptkbp:dimensions |
n(n+1)/2
|
| gptkbp:field |
gptkb:algebraic_geometry
gptkb:mathematics differential geometry symplectic geometry |
| gptkbp:has_complex_form |
complex Lagrangian Grassmannian
|
| gptkbp:has_real_form |
real Lagrangian Grassmannian
|
| gptkbp:heldBy |
gptkb:Riemannian_manifold
gptkb:compact_Hermitian_symmetric_space Kähler manifold moduli space projective variety flag variety symmetric space parameter space |
| https://www.w3.org/2000/01/rdf-schema#label |
Lagrangian Grassmannian
|
| gptkbp:isQuotientOf |
symplectic group Sp(2n)
|
| gptkbp:notation |
Lag(n,2n)
Λ(n) |
| gptkbp:quotient_by |
gptkb:unitary_group_U(n)
|
| gptkbp:relatedTo |
symplectic vector space
Lagrangian subspace |
| gptkbp:subclassOf |
Grassmannian
|
| gptkbp:used_in |
gptkb:mirror_symmetry
representation theory moduli theory |
| gptkbp:bfsParent |
gptkb:Grassmannians
|
| gptkbp:bfsLayer |
7
|