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Triple System: Vector Space, Multilinear Map -

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2026-03-19
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High Quality Content by WIKIPEDIA articles! In algebra, a triple system is a vector space V over a field F together with a F-trilinear map (cdot,cdot,cdot) colon Vtimes V times Vto V. The 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 an ... Visas aprašymas

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High Quality Content by WIKIPEDIA articles! In algebra, a triple system is a vector space V over a field F together with a F-trilinear map (cdot,cdot,cdot) colon Vtimes V times Vto V. The 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).

Daugiau informacijos

Leidėjas OmniScriptum
Išleidimo metai 2026
Viršelio tipas Minkšti viršeliai
EAN 9786131140297
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194,30 € 259,07 €