Hermitian symmetric space

URI: https://gptkb.org/entity/Hermitian_symmetric_space

GPTKB entity

Predicate	Object
gptkbp:instanceOf	gptkb:mathematical_concept Kähler manifold symmetric space
gptkbp:automorphismGroup	gptkb:semisimple_Lie_group
gptkbp:class	gptkb:Cartan_classification
gptkbp:example	gptkb:Siegel_upper_half-space gptkb:complex_Grassmannian gptkb:complex_hyperbolic_space complex projective space
gptkbp:hasApplication	gptkb:algebraic_geometry gptkb:string_theory number theory representation theory moduli spaces
gptkbp:hasProperty	is a Kähler manifold is a Riemannian symmetric space is a complex manifold is a homogeneous space is a locally symmetric space
gptkbp:hasType	gptkb:compact_Hermitian_symmetric_space gptkb:noncompact_Hermitian_symmetric_space
https://www.w3.org/2000/01/rdf-schema#label	Hermitian symmetric space
gptkbp:introduced	gptkb:Élie_Cartan
gptkbp:relatedTo	gptkb:Lie_group Kähler manifold bounded symmetric domain
gptkbp:structure	Hermitian metric involution symmetry
gptkbp:studiedBy	differential geometry complex geometry
gptkbp:bfsParent	gptkb:Siegel_domain gptkb:symmetric_spaces gptkb:CP^1
gptkbp:bfsLayer	7