Deformations of classical Lie algebras

For a classical Lie algebra L of characteristic p>2 and different from C2 it is proved that H2(L,L)=0 when p=3. A classical Lie algebra is understood to be the Lie algebra of a simple algebraic group, or its quotient algebra by the centre, or a Lie algebra Alz with l+1≡0(p) or E6z when p=3