Triple system
id:
triple-system-310-2137568
title:
Triple system
text:
In algebra, a triple system is a vector space V over a field F together with a F-trilinear map 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
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encyclopedia
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https://en.wikipedia.org/wiki/Triple_system
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date modified:
2021-06-02T01:11:39Z
main entity:
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