ON THE VARIATIONS OF G2

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In [1], Shen Guangyu constructed several classes of new simple Lie algebras of characteristic2, which are called the variations of G2. In this paper, the authors investigate their derivationalgebras. It is shown that G2 and its variations all possess unique nondegenerate associativeforms. The authors also find some nonsingular derivations of ViG for i = 3, 4, 5, 6, and therebyconstruct some left-symmetric structures on ViG for i = 3,4,5,6. Some errors about thevariations of si(3, F) in [1] are corrected.
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