Let U denote the enveloping algebra of the simple Lie algebra ~42, C). In this paper it is shown that the Krull dimension of U (denoted ] U]) is two. If U(g) is the enveloping algebra of a finite-dimensional solvable Lie algebra g then it is straightforward to show that ) U(g)] = dim g [5, 3.8.111. The problem as to the Krull dimension of U was first mentioned by Gabriel and Nouazt [9] they sho...
