| dbo:abstract |
In mathematics, quaternionic projective space is an extension of the ideas of real projective space and complex projective space, to the case where coordinates lie in the ring of quaternions Quaternionic projective space of dimension n is usually denoted by and is a closed manifold of (real) dimension 4n. It is a homogeneous space for a Lie group action, in more than one way. The quaternionic projective line is homeomorphic to the 4-sphere. (en) In de wiskunde is een quaternionische projectieve ruimte een uitbreiding van de ideeën van reële projectieve - en complexe projectieve ruimten op het geval, waar de coördinaten in de ring van quaternionen H liggen. Quaternionische projectieve ruimten van dimensie n worden meestal aangeduid door HPn De quaternionische projectieve ruimte is een gesloten variëteit met (reële) dimensie 4n. De quaternionische projectieve ruimte is op meer dan een manier een homogene ruimte voor een Lie-groepsbewerking. (nl) |
| dbo:wikiPageExternalLink |
http://mi.mathnet.ru/eng/tm/v224/p56 |
| dbo:wikiPageID |
2808931 (xsd:integer) |
| dbo:wikiPageLength |
7393 (xsd:nonNegativeInteger) |
| dbo:wikiPageRevisionID |
1018958274 (xsd:integer) |
| dbo:wikiPageWikiLink |
dbr:Quaternion dbr:Projective_line_over_a_ring dbr:Homogeneous_space dbr:Hopf_fibration dbr:Vladimir_Arnold dbr:Lie_group dbr:K(Z,2) dbr:Stiefel–Whitney_class dbr:Mathematics dbr:Classifying_space dbr:Edward_Witten dbr:Fubini-Study_metric dbr:Grassmannian dbc:Homogeneous_spaces dbr:Closed_manifold dbr:Complex_projective_space dbr:Fubini–Study_metric dbr:Quaternion-Kähler_symmetric_space dbr:Symplectic_group dbr:Linear_fractional_transformation dbr:Pontryagin_class dbc:Projective_geometry dbc:Quaternions dbr:Riemannian_metric dbr:Ring_(mathematics) dbr:Group_action_(mathematics) dbr:Homogeneous_coordinates dbr:Eilenberg–Maclane_space dbr:Diffeomorphic dbr:Sphere dbr:Circle_group dbr:Michael_Atiyah dbr:Real_projective_space dbr:Principal_bundle dbr:Möbius_group dbr:Rational_homotopy_theory dbr:Orbit_space dbr:Circle_action dbr:Quotient_manifold dbr:Proceedings_of_the_Royal_Irish_Academy,_Section_A dbr:Projective_space_over_a_division_algebra dbr:Complex_projective_line dbr:U(1) dbr:Localisation_of_a_space |
| dbp:wikiPageUsesTemplate |
dbt:Citation dbt:Cite_journal dbt:Reflist |
| dcterms:subject |
dbc:Homogeneous_spaces dbc:Projective_geometry dbc:Quaternions |
| rdf:type |
yago:Abstraction100002137 yago:Attribute100024264 yago:DefiniteQuantity113576101 yago:Digit113741022 yago:Four113744304 yago:Integer113728499 yago:Measure100033615 yago:Number113582013 yago:WikicatHomogeneousSpaces yago:Space100028651 yago:WikicatQuaternions |
| rdfs:comment |
In mathematics, quaternionic projective space is an extension of the ideas of real projective space and complex projective space, to the case where coordinates lie in the ring of quaternions Quaternionic projective space of dimension n is usually denoted by and is a closed manifold of (real) dimension 4n. It is a homogeneous space for a Lie group action, in more than one way. The quaternionic projective line is homeomorphic to the 4-sphere. (en) In de wiskunde is een quaternionische projectieve ruimte een uitbreiding van de ideeën van reële projectieve - en complexe projectieve ruimten op het geval, waar de coördinaten in de ring van quaternionen H liggen. Quaternionische projectieve ruimten van dimensie n worden meestal aangeduid door HPn De quaternionische projectieve ruimte is een gesloten variëteit met (reële) dimensie 4n. De quaternionische projectieve ruimte is op meer dan een manier een homogene ruimte voor een Lie-groepsbewerking. (nl) |
| rdfs:label |
Quaternionische projectieve ruimte (nl) Quaternionic projective space (en) |
| owl:sameAs |
freebase:Quaternionic projective space wikidata:Quaternionic projective space dbpedia-nl:Quaternionic projective space https://global.dbpedia.org/id/2Yegj yago-res:Quaternionic projective space |
| prov:wasDerivedFrom |
wikipedia-en:Quaternionic_projective_space?oldid=1018958274&ns=0 |
| foaf:isPrimaryTopicOf |
wikipedia-en:Quaternionic_projective_space |
| is dbo:wikiPageRedirects of |
dbr:Quaternion_projective_space dbr:Quaternionic_projective_line dbr:Quaternionic_projective_plane |
| is dbo:wikiPageWikiLink of |
dbr:Projective_plane dbr:Projective_space dbr:Quaternion dbr:Quaternion-Kähler_manifold dbr:Hopf_fibration dbr:List_of_manifolds dbr:Quaternionic_manifold dbr:Complex_projective_space dbr:HPN dbr:Eells–Kuiper_manifold dbr:Real_projective_space dbr:Topological_manifold dbr:Principal_bundle dbr:Stunted_projective_space dbr:Quaternion_projective_space dbr:Quaternionic_projective_line dbr:Quaternionic_projective_plane |
| is foaf:primaryTopic of |
wikipedia-en:Quaternionic_projective_space |