2 problems

Let $L$ be a vector space, let $P=\operatorname{id}_{L^{\otimes 2}}+\tau$ and let $I=\operatorname{gen}\{\operatorname{im}P\}$ be the quadratic ideal generated by the image of $P$.…

Non-degeneracy conjecture. The Killing form on $\mathcal{C}$ is non-degenerate.