I'm looking for an example to show that there can be Algebras over a field $F$ of characteristic 2, which follows $[x,y] = -[y,x]$ and the Jacobi identity, but is not a Lie Algebra.
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what extra condition does it have to satisfy to become a lie algebra? – Jul 10 '17 at 17:23
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It has to satisfy $[x,x] =0$ for all $x$ belonging to the Lie algebra – Mike Jul 10 '17 at 17:26
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Like I understand what the problem is when the characteristic of the field is 2 for an abstract Lie algebra, but I can't think of a concrete example. – Mike Jul 10 '17 at 17:59
