Links–Gould invariant conjecture for braided exterior algebras

Let $V$ be a vector space of dimension $N$, let $\rho$ be the $R$-matrix-induced structure on the braided exterior algebra $[...].$ For a long knot, let $J_{\rho}$ denote the associated invariant. Links–Gould invariant conjecture. The invariant has the form

$$J_{\rho}=\operatorname{LG}^{(N)}\!(p,t)\operatorname{id}_{\Lambda_p(V)},$$

where $\operatorname{LG}^{(N)}\!(p,t)$ is the Links–Gould invariant associated with a $2^N$-dimensional representation of the super quantum group $U_q(\mathfrak{gl}(N|1))$. The conjecture identifies the invariants arising from these braided exterior-algebra solutions with the Links–Gould invariants; the source gives no resolution beyond the stated formulation.