Tits–Freudenthal magic square

GPTKB entity

Predicate	Object
gptkbp:instanceOf	gptkb:mathematical_concept
gptkbp:alsoKnownAs	gptkb:magic_square_of_Lie_algebras
gptkbp:appearsIn	theory of Lie groups theory of algebraic groups exceptional structures in mathematics
gptkbp:builtBy	gptkb:Tits_construction gptkb:Freudenthal_construction
gptkbp:category	gptkb:mathematical_concept
gptkbp:describes	gptkb:exceptional_Lie_algebras
gptkbp:field	gptkb:mathematics
gptkbp:hasEntry	gptkb:D4 gptkb:G2 gptkb:B2 gptkb:A2 gptkb:F4 E8 C3 E6 E7 A1
gptkbp:hasSubfield	gptkb:algebra Lie algebra theory
https://www.w3.org/2000/01/rdf-schema#label	Tits–Freudenthal magic square
gptkbp:includes	gptkb:Lie_algebra_E6 gptkb:Lie_algebra_E7 gptkb:Lie_algebra_E8 gptkb:Lie_algebra_F4
gptkbp:introducedIn	1950s
gptkbp:namedAfter	gptkb:Hans_Freudenthal gptkb:Jacques_Tits
gptkbp:relatedConcept	gptkb:Albert_algebra gptkb:octonions gptkb:Freudenthal_triple_system gptkb:Cayley_numbers classical groups exceptional groups
gptkbp:relatedTo	gptkb:Jordan_algebras gptkb:composition_algebras simple Lie algebras triality Vinberg's construction
gptkbp:structure	4x4 array
gptkbp:usedFor	classification of Lie algebras
gptkbp:bfsParent	gptkb:Freudenthal_magic_square
gptkbp:bfsLayer	7