Abstract
Kaplansky introduced several classes of central simple Lie algebras in characteristic 2. We view these algebras in terms of graphs, and we classify them using a theorem of Shult characterizing graphs with the "cotriangle condition"; there is also a connection with Fischer′s theorem on groups generated by 3-transpositions. Uniqueness of these algebras is phrased in terms of their cohomology, and a lower bound for dim H1 of these algebras is given.
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