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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.

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rdfs:label	Quaternionische projectieve ruimte (nl) Quaternionic projective space (en)
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)
dcterms:subject	Homogeneous spaces Projective geometry Quaternions
Wikipage page ID	2808931 (xsd:integer)
Wikipage revision ID	1018958274 (xsd:integer)
Link from a Wikipage to another Wikipage	Quaternion Projective line over a ring Homogeneous space Hopf fibration Vladimir Arnold Lie group K(Z,2) Stiefel–Whitney class Mathematics Classifying space Edward Witten Fubini-Study metric Grassmannian Homogeneous spaces Closed manifold Complex projective space Fubini–Study metric Quaternion-Kähler symmetric space Symplectic group Linear fractional transformation Pontryagin class Projective geometry Quaternions Riemannian metric Ring (mathematics) Group action (mathematics) Homogeneous coordinates Eilenberg–Maclane space Diffeomorphic Sphere Circle group Michael Atiyah Real projective space Principal bundle Möbius group Rational homotopy theory Orbit space Circle action Quotient manifold Proceedings of the Royal Irish Academy, Section A Projective space over a division algebra Complex projective line U(1) dbr:Localisation_of_a_space
Link from a Wikipage to an external page	http://mi.mathnet.ru/eng/tm/v224/p56
sameAs	Quaternionic projective space Quaternionic projective space Quaternionic projective space Quaternionic projective space Quaternionic projective space
dbp:wikiPageUsesTemplate	dbt:Citation dbt:Cite_journal dbt:Reflist
has 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)
prov:wasDerivedFrom	wikipedia-en:Quaternionic_projective_space?oldid=1018958274&ns=0
page length (characters) of wiki page	7393 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Quaternionic_projective_space
is Link from a Wikipage to another Wikipage of	Projective plane Projective space Quaternion Quaternion-Kähler manifold Hopf fibration List of manifolds Quaternionic manifold Complex projective space HPN Eells–Kuiper manifold Real projective space Topological manifold Principal bundle Stunted projective space Quaternion projective space Quaternionic projective line Quaternionic projective plane
is Wikipage redirect of	Quaternion projective space Quaternionic projective line Quaternionic projective plane
is foaf:primaryTopic of	wikipedia-en:Quaternionic_projective_space

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