Matches in DBpedia 2015-10 for { <http://dbpedia.org/resource/Freudenthal_magic_square> ?p ?o }
- Freudenthal_magic_square abstract "In mathematics, the Freudenthal magic square (or Freudenthal–Tits magic square) is a construction relating several Lie algebras (and their associated Lie groups). It is named after Hans Freudenthal and Jacques Tits, who developed the idea independently. It associates a Lie algebra to a pair of division algebras A, B. The resulting Lie algebras have Dynkin diagrams according to the table at right. The "magic" of the Freudenthal magic square is that the constructed Lie algebra is symmetric in A and B, despite the original construction not being symmetric, though Vinberg's symmetric method gives a symmetric construction.The Freudenthal magic square includes all of the exceptional Lie groups apart from G2, and it provides one possible approach to justify the assertion that "the exceptional Lie groups all exist because of the octonions": G2 itself is the automorphism group of the octonions (also, it is in many ways like a classical Lie group because it is the stabilizer of a generic 3-form on a 7-dimensional vector space – see prehomogeneous vector space).".
- Freudenthal_magic_square wikiPageExternalLink 111550.
- Freudenthal_magic_square wikiPageExternalLink octonions.
- Freudenthal_magic_square wikiPageExternalLink node16.html.
- Freudenthal_magic_square wikiPageExternalLink S0273-0979-05-01052-9.pdf.
- Freudenthal_magic_square wikiPageExternalLink Thesis%20Yong%20Dong%20Huang.pdf.
- Freudenthal_magic_square wikiPageID "13796065".
- Freudenthal_magic_square wikiPageLength "27893".
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- Freudenthal_magic_square wikiPageRevisionID "679417144".
- Freudenthal_magic_square wikiPageWikiLink Automorphism.
- Freudenthal_magic_square wikiPageWikiLink Automorphism_group.
- Freudenthal_magic_square wikiPageWikiLink Category:Lie_groups.
- Freudenthal_magic_square wikiPageWikiLink Category:Representation_theory.
- Freudenthal_magic_square wikiPageWikiLink Cayley_plane.
- Freudenthal_magic_square wikiPageWikiLink Cayley_projective_plane.
- Freudenthal_magic_square wikiPageWikiLink Classical_Lie_group.
- Freudenthal_magic_square wikiPageWikiLink Classical_group.
- Freudenthal_magic_square wikiPageWikiLink Compact_Lie_algebra.
- Freudenthal_magic_square wikiPageWikiLink Composition_algebra.
- Freudenthal_magic_square wikiPageWikiLink Derivation_(abstract_algebra).
- Freudenthal_magic_square wikiPageWikiLink Derivation_(differential_algebra).
- Freudenthal_magic_square wikiPageWikiLink Division_algebra.
- Freudenthal_magic_square wikiPageWikiLink Double_Lagrangian_Grassmannian.
- Freudenthal_magic_square wikiPageWikiLink Dynkin_diagram.
- Freudenthal_magic_square wikiPageWikiLink E6_(mathematics).
- Freudenthal_magic_square wikiPageWikiLink E7_(mathematics).
- Freudenthal_magic_square wikiPageWikiLink E8_(mathematics).
- Freudenthal_magic_square wikiPageWikiLink Ernest_Vinberg.
- Freudenthal_magic_square wikiPageWikiLink Euclidean_Hurwitz_algebra.
- Freudenthal_magic_square wikiPageWikiLink Euclidean_Jordan_algebra.
- Freudenthal_magic_square wikiPageWikiLink Exceptional_Lie_group.
- Freudenthal_magic_square wikiPageWikiLink F4_(mathematics).
- Freudenthal_magic_square wikiPageWikiLink Field_(mathematics).
- Freudenthal_magic_square wikiPageWikiLink Frank_Adams.
- Freudenthal_magic_square wikiPageWikiLink G2_(mathematics).
- Freudenthal_magic_square wikiPageWikiLink Hans_Freudenthal.
- Freudenthal_magic_square wikiPageWikiLink Hermitian_matrices.
- Freudenthal_magic_square wikiPageWikiLink Hermitian_matrix.
- Freudenthal_magic_square wikiPageWikiLink Hermitian_symmetric_space.
- Freudenthal_magic_square wikiPageWikiLink Hurwitzs_theorem_(composition_algebras).
- Freudenthal_magic_square wikiPageWikiLink Jacques_Tits.
- Freudenthal_magic_square wikiPageWikiLink John_Frank_Adams.
- Freudenthal_magic_square wikiPageWikiLink Jordan_algebra.
- Freudenthal_magic_square wikiPageWikiLink Jordan_triple_system.
- Freudenthal_magic_square wikiPageWikiLink Lagrangian_Grassmannian.
- Freudenthal_magic_square wikiPageWikiLink Lie_algebra.
- Freudenthal_magic_square wikiPageWikiLink Lie_group.
- Freudenthal_magic_square wikiPageWikiLink List_of_simple_Lie_groups.
- Freudenthal_magic_square wikiPageWikiLink Mathematics.
- Freudenthal_magic_square wikiPageWikiLink Mir_Publishers.
- Freudenthal_magic_square wikiPageWikiLink Normed_division_algebra.
- Freudenthal_magic_square wikiPageWikiLink Octonion.
- Freudenthal_magic_square wikiPageWikiLink Octonionic_projective_plane.
- Freudenthal_magic_square wikiPageWikiLink Octonions.
- Freudenthal_magic_square wikiPageWikiLink Pierre_Ramond.
- Freudenthal_magic_square wikiPageWikiLink Prehomogeneous_vector_space.
- Freudenthal_magic_square wikiPageWikiLink Riemannian_symmetric_space.
- Freudenthal_magic_square wikiPageWikiLink Ruth_Moufang.
- Freudenthal_magic_square wikiPageWikiLink Simple_Lie_group.
- Freudenthal_magic_square wikiPageWikiLink Spin_representation.
- Freudenthal_magic_square wikiPageWikiLink Split-complex_number.
- Freudenthal_magic_square wikiPageWikiLink Split-octonion.
- Freudenthal_magic_square wikiPageWikiLink Split-octonions.
- Freudenthal_magic_square wikiPageWikiLink Split-quaternion.
- Freudenthal_magic_square wikiPageWikiLink Split-quaternions.
- Freudenthal_magic_square wikiPageWikiLink Symmetric_cone.
- Freudenthal_magic_square wikiPageWikiLink Symmetric_space.
- Freudenthal_magic_square wikiPageWikiLink Tony_Sudbery.
- Freudenthal_magic_square wikiPageWikiLink Trace-free.
- Freudenthal_magic_square wikiPageWikiLink Trace_(linear_algebra).
- Freudenthal_magic_square wikiPageWikiLink Triality.
- Freudenthal_magic_square wikiPageWikiLink Triple_system.
- Freudenthal_magic_square wikiPageWikiLinkText "''magic square''".
- Freudenthal_magic_square wikiPageWikiLinkText "Freudenthal magic square".
- Freudenthal_magic_square wikiPageWikiLinkText "Freudenthal magic square#Rosenfeld projective planes".
- Freudenthal_magic_square wikiPageWikiLinkText "Freudenthal magic square#octooctonionic projective plane".
- Freudenthal_magic_square wikiPageWikiLinkText "Freudenthal magic square#quateroctonionic projective plane".
- Freudenthal_magic_square wikiPageWikiLinkText "magic square".
- Freudenthal_magic_square hasPhotoCollection Freudenthal_magic_square.
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- Freudenthal_magic_square wikiPageUsesTemplate Template:Visible_anchor.
- Freudenthal_magic_square subject Category:Lie_groups.
- Freudenthal_magic_square subject Category:Representation_theory.
- Freudenthal_magic_square hypernym Construction.
- Freudenthal_magic_square type Article.
- Freudenthal_magic_square type Company.
- Freudenthal_magic_square type Article.
- Freudenthal_magic_square type Field.
- Freudenthal_magic_square type Thing.
- Freudenthal_magic_square comment "In mathematics, the Freudenthal magic square (or Freudenthal–Tits magic square) is a construction relating several Lie algebras (and their associated Lie groups). It is named after Hans Freudenthal and Jacques Tits, who developed the idea independently. It associates a Lie algebra to a pair of division algebras A, B. The resulting Lie algebras have Dynkin diagrams according to the table at right.".