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- Cayley_plane abstract "In mathematics, the Cayley plane (or octonionic projective plane) P2(O) is a projective plane over the octonions. It was discovered in 1933 by Ruth Moufang, and is named after Arthur Cayley (for his 1845 paper describing the octonions).More precisely, there are two objects called Cayley planes, namely the real and the complex Cayley plane.The real Cayley plane is the symmetric space F4/Spin(9), where F4 is a compact form of an exceptional Lie group and Spin(9) is the spin group of nine-dimensional Euclidean space (realized in F4). It admits a cell decomposition into three cells, of dimensions 0, 8 and 16. The complex Cayley plane is a homogeneous space under a noncompact (adjoint type) form of the group E6 by a parabolic subgroup P1. It is the closed orbit in the projectivization of the minimal representation of E6. The complex Cayley plane consists of two F4-orbits: the closed orbit is a quotient of F4 by a parabolic subgroup, the open orbit is the real Cayley plane.".
- Cayley_plane wikiPageExternalLink octonions.
- Cayley_plane wikiPageExternalLink S0273-0979-05-01052-9.pdf.
- Cayley_plane wikiPageID "9410951".
- Cayley_plane wikiPageLength "3574".
- Cayley_plane wikiPageOutDegree "19".
- Cayley_plane wikiPageRevisionID "692685872".
- Cayley_plane wikiPageWikiLink Arthur_Cayley.
- Cayley_plane wikiPageWikiLink Borel_subgroup.
- Cayley_plane wikiPageWikiLink Category:Projective_geometry.
- Cayley_plane wikiPageWikiLink Desarguess_theorem.
- Cayley_plane wikiPageWikiLink E6_(mathematics).
- Cayley_plane wikiPageWikiLink Euclidean_space.
- Cayley_plane wikiPageWikiLink F4_(mathematics).
- Cayley_plane wikiPageWikiLink Freudenthal_magic_square.
- Cayley_plane wikiPageWikiLink Homogeneous_space.
- Cayley_plane wikiPageWikiLink Mathematics.
- Cayley_plane wikiPageWikiLink Non-Desarguesian_plane.
- Cayley_plane wikiPageWikiLink Octonion.
- Cayley_plane wikiPageWikiLink Projective_plane.
- Cayley_plane wikiPageWikiLink Projective_space.
- Cayley_plane wikiPageWikiLink Ruth_Moufang.
- Cayley_plane wikiPageWikiLink Simple_Lie_group.
- Cayley_plane wikiPageWikiLink Spin_group.
- Cayley_plane wikiPageWikiLink Symmetric_space.
- Cayley_plane wikiPageWikiLinkText "Cayley plane".
- Cayley_plane wikiPageWikiLinkText "octonionic projective plane".
- Cayley_plane wikiPageUsesTemplate Template:Algebra-stub.
- Cayley_plane wikiPageUsesTemplate Template:Cite_journal.
- Cayley_plane wikiPageUsesTemplate Template:Geometry-stub.
- Cayley_plane wikiPageUsesTemplate Template:Refbegin.
- Cayley_plane wikiPageUsesTemplate Template:Refend.
- Cayley_plane wikiPageUsesTemplate Template:Reflist.
- Cayley_plane subject Category:Projective_geometry.
- Cayley_plane hypernym Plane.
- Cayley_plane type Aircraft.
- Cayley_plane comment "In mathematics, the Cayley plane (or octonionic projective plane) P2(O) is a projective plane over the octonions.".
- Cayley_plane label "Cayley plane".
- Cayley_plane sameAs Q16858508.
- Cayley_plane sameAs m.0g58x8w.
- Cayley_plane sameAs Q16858508.
- Cayley_plane wasDerivedFrom Cayley_plane?oldid=692685872.
- Cayley_plane isPrimaryTopicOf Cayley_plane.