Inner Co-split Problem Of The Wtype Restricted Lie Algebras

Inner co-split problem of the non-restricted Lie algebrasW(P,?)has been studied over positive characteristic field.A further study,another kind of restricted Lie algebrasW(?),also has inner co-split structure over field F with characteristic p.This paper studies inner co-split problem of the Lie algebras,,when p is odd.Prove that the Lie algebras is inner co-split,if and only ifn=1,p=3.