3 problems

Let $V$) be a simple vertex operator algebra satisfying the following conditions: $V_{(0)}=\mathbb{C}\mathbf{1}$, $V_{(n)}=0$ for $n<0$, and the contragredient $V'$ is equivalent t…

G-crossed tensor-category conjecture. This category has a natural structure of a $G$-crossed tensor category satisfying additional properties.

Twisted intertwining-operator conjecture. The twisted intertwining operators among the $g$-twisted $V$-modules, for all $g\in G$, satisfy associativity, commutativity and modular i…