Automorphisms and forms of lie algebras of cartan type

Abstract

Let L be any of simple Lie algebras of Cartan type L = X(2)(m : n : Φ), X = 5, H or K, n≠1, over a field F of characteristic p > 3, and R a commutative ring extension of F. Then AutR(R⊗L)≌ Aut R(R⊗21 (m : n) : R⊗L). It follows that, all forms of L are standard and thereby are determined