Extension of the main theorems to exceptional Lie types

Let ${\mathfrak g}$ be a complex semisimple Lie algebra, and let the statements of Theorems 1 and 2 of the paper be understood in their previously established generality. Exceptional-type extension conjecture. Theorems 1 and 2 remain true when ${\mathfrak g}$ is of exceptional type. This proposes extending the paper's results from the treated Lie types to exceptional types; the supplied source gives no evidence that the conjecture has been resolved.