What Are Tri-Linear Invariants in M-Theory and 3-Algebras?

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After some hints regarding M-theory I tried to understand 3-algebras.

I asked this question here some months ago and I asked some other experts (J. Baez was one of them) regarding an E(n) invariant scalar product (n=6, 7, 8); unfortunately nobody had a convincng idea.

In Lubosz's blog I found a hint that in M-theory everything is (magically) related to the number 3; he mentions 3-algebras and exceptional symmetries because of their tri-linear invariants.

Does anybody know what these invariants are and how they can be interpreted?