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- Triple_system abstract "In algebra, a triple system (or ternar) is a vector space V over a field F together with a F-trilinear mapThe most important examples are Lie triple systems and Jordan triple systems. They were introduced by Nathan Jacobson in 1949 to study subspaces of associative algebras closed under triple commutators [[u, v], w] and triple anticommutators {u, {v, w}}. In particular, any Lie algebra defines a Lie triple system and any Jordan algebra defines a Jordan triple system. They are important in the theories of symmetric spaces, particularly Hermitian symmetric spaces and their generalizations (symmetric R-spaces and their noncompact duals).".
- Triple_system wikiPageExternalLink irvine.pdf.
- Triple_system wikiPageExternalLink Meyberg(Reduced2).pdf.
- Triple_system wikiPageID "19287276".
- Triple_system wikiPageRevisionID "605877366".
- Triple_system first "Noriaki".
- Triple_system hasPhotoCollection Triple_system.
- Triple_system id "Jordan_triple_system".
- Triple_system id "Lie_triple_system".
- Triple_system last "Kamiya".
- Triple_system title "Jordan triple system".
- Triple_system title "Lie triple system".
- Triple_system subject Category:Representation_theory.
- Triple_system comment "In algebra, a triple system (or ternar) is a vector space V over a field F together with a F-trilinear mapThe most important examples are Lie triple systems and Jordan triple systems. They were introduced by Nathan Jacobson in 1949 to study subspaces of associative algebras closed under triple commutators [[u, v], w] and triple anticommutators {u, {v, w}}. In particular, any Lie algebra defines a Lie triple system and any Jordan algebra defines a Jordan triple system.".
- Triple_system label "Triple system".
- Triple_system label "三項系".
- Triple_system sameAs 三項系.
- Triple_system sameAs m.04lg65l.
- Triple_system sameAs Q11358307.
- Triple_system sameAs Q11358307.
- Triple_system wasDerivedFrom Triple_system?oldid=605877366.
- Triple_system isPrimaryTopicOf Triple_system.