compact Hermitian symmetric space
GPTKB entity
Statements (25)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
Kähler manifold
symmetric space |
| gptkbp:class |
gptkb:Élie_Cartan
|
| gptkbp:dualObject |
gptkb:noncompact_Hermitian_symmetric_space
|
| gptkbp:example |
gptkb:Lagrangian_Grassmannian
gptkb:complex_Grassmannian complex projective space Hermitian symmetric space of type E6 Hermitian symmetric space of type E7 complex quadric |
| gptkbp:hasIsometryGroup |
gptkb:semisimple_Lie_group
|
| gptkbp:hasProperty |
compact
Kähler manifold symmetric Hermitian homogeneous space irreducible (if not a product) simply connected (in most cases) |
| https://www.w3.org/2000/01/rdf-schema#label |
compact Hermitian symmetric space
|
| gptkbp:isQuotientOf |
compact Lie group by closed subgroup
|
| gptkbp:studiedIn |
differential geometry
complex geometry |
| gptkbp:bfsParent |
gptkb:Hermitian_symmetric_space
gptkb:Lagrangian_Grassmannian |
| gptkbp:bfsLayer |
8
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