Abstract
The work of the classification of the simple Lie algebras over algebraical closed fieldF of prime characteristc p began nearly 50 years ago and the problem has been solved just recentlyunder the condition p>7,and the generalized Kostrikin-Safarevic conjecture that these al-gebras are all of classical or Cartan type is verified.For the classification of simple Liealgebras over non-closed fields,it is necessary to consider the forms.A central simple Lie
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