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- F4_(mathematics) abstract "In mathematics, F4 is the name of a Lie group and also its Lie algebra f4. It is one of the five exceptional simple Lie groups. F4 has rank 4 and dimension 52. The compact form is simply connected and its outer automorphism group is the trivial group. Its fundamental representation is 26-dimensional.The compact real form of F4 is the isometry group of a 16-dimensional Riemannian manifold known as the octonionic projective plane OP2. This can be seen systematically using a construction known as the magic square, due to Hans Freudenthal and Jacques Tits.There are 3 real forms: a compact one, a split one, and a third one. The F4 Lie algebra may be constructed by adding 16 generators transforming as a spinor to the 36-dimensional Lie algebra so(9), in analogy with the construction of E8.In older books and papers, F4 is sometimes denoted by E4.".
- F4_(mathematics) thumbnail Dynkin_diagram_F4.png?width=300.
- F4_(mathematics) wikiPageExternalLink books?isbn=0226005275.
- F4_(mathematics) wikiPageExternalLink node15.html..
- F4_(mathematics) wikiPageExternalLink home.html.
- F4_(mathematics) wikiPageID "292877".
- F4_(mathematics) wikiPageRevisionID "598011287".
- F4_(mathematics) hasPhotoCollection F4_(mathematics).
- F4_(mathematics) subject Category:Algebraic_groups.
- F4_(mathematics) subject Category:Lie_groups.
- F4_(mathematics) comment "In mathematics, F4 is the name of a Lie group and also its Lie algebra f4. It is one of the five exceptional simple Lie groups. F4 has rank 4 and dimension 52. The compact form is simply connected and its outer automorphism group is the trivial group. Its fundamental representation is 26-dimensional.The compact real form of F4 is the isometry group of a 16-dimensional Riemannian manifold known as the octonionic projective plane OP2.".
- F4_(mathematics) label "F4 (mathematics)".
- F4_(mathematics) label "F4 (mathématiques)".
- F4_(mathematics) label "F4 (математика)".
- F4_(mathematics) sameAs F4_(mathématiques).
- F4_(mathematics) sameAs F₄.
- F4_(mathematics) sameAs m.01qtnk.
- F4_(mathematics) sameAs Q869077.
- F4_(mathematics) sameAs Q869077.
- F4_(mathematics) wasDerivedFrom F4_(mathematics)?oldid=598011287.
- F4_(mathematics) depiction Dynkin_diagram_F4.png.
- F4_(mathematics) isPrimaryTopicOf F4_(mathematics).