5 problems

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

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 ide…

Cayley-Dickson approach conjecture. An interpretation in terms of the Cayley-Dickson process could be the key to proving the straight-or-twisted classification conjecture.

Straight-or-twisted conjecture. Every symmetric bundle structure on $TM$ is exactly one of the following two types: the straight type or the twisted type.

Jordan-Lie extension conjecture. The extension problem for representations of Lie triple systems is closely related to the extension problem for the Jordan-Lie functor.