ISOMORPHISM INVARIANTS OF RESTRICTED ENVELOPING ALGEBRAS

Let L and H be finite-dimensional restricted Lie algebras over a perfect field F. Suppose u(L) congruent to u(H), where u(L) is the restricted enveloping algebra of L. We prove that L congruent to H if L is p-nilpotent and abelian, or if L is abelian and F is algebraically closed. We use these results to prove our main result, that if L is p-nilpotent, then L/L'(p) + gamma(3)(L) congruent to H/H'(p) + gamma(3)(H).