The augmentation-ideal conjecture for universal enveloping algebras of simple Lie triple systems

Let $V$ be a simple Lie triple system and let $U(V)$ be its universal enveloping algebra. The augmentation-ideal conjecture. The only proper ideal of $U(V)$ is its augmentation ideal.

This conjecture concerns the scarcity of ideals in universal enveloping algebras of Lie triple systems. It is motivated by examples suggesting that the ideals are even scarcer than implied by the paper's main theorem; the supplied text does not state whether the conjecture has been proved or disproved.