DERIVATIONS OF A NILPOTENT SUBALGEBRA OF LIE ALGEBRA OF �TYPE OVER A COMMUTATIVE RING
Suppose that �Let C be the field of complex numbers, L be a complex orthogonal Lie algebra � �be the Z-span of a Chevalley basis of L and �be a Chevalley algebra of the orthogonal Lie algebra over a commutative ring R. Let �be the nilpotent subalgebra of �spanned by the root vectors associated with positive roots. In this paper, all derivations of �are determined, provided that 2 is invertible in R.
Chevalley basis, derivations, nilpotent Lie algebra, communicative rings.