特征2李代数G_2的中心扩张

Central Extensions of the Lie Algebra G 2 over a Field Characteristic 2

通过对Ｇ２上２－上循环作用的计算决定了它的一维中心扩张

In this paper,the 2 cocycles of G 2 over a field of characteristic 2 are all determined,hence we can discuss the conditions under which two 1 dimensional central extensions are equivalent.And finally we determined all these 1 dimensional extensions,or rather,dim H 2(G 2,F)=7.