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Triple System: Vector Space, Multilinear Map -

English
2026-03-19
€207.26 €259.07

-20% with code BOOKS

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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 ... Full description

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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).

More Information

Publisher OmniScriptum
Release year 2026
Cover type Softcover
EAN 9786131140297
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€207.26 €259.07