Talk:Ternary commutator
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What are these?[edit]
![{\displaystyle [a,b,c]=abc-acb-bac+bca+cab-cba.\,}](https://wikimedia.org/api/rest_v1/media/math/render/svg/3b92cf12d43f3bbbdf4335863769ab48ba6a92b0)
Are vectors are scalars or matrices or what? Michael Hardy (talk) 15:52, 28 July 2012 (UTC)
- They're most likely to be matrices, but I suppose the setting could be any abelian group with a given ternary "product" operation. For the purposes of Bremner (1998), the setting is a triple system, i.e. a vector space with a trilinear map. Other authors may restrict their attention to associative algebras. Melchoir (talk) 19:04, 28 July 2012 (UTC)