Existence of the Map $de{t}^{S^3}$

Steven R. Lippold, Mihai D. Staic

In this paper we show the existence of a nontrivial linear map $de{t}^{S^3}:V_d^{\otimes \left(\genfrac{}{}{0ex}{}{3d}{3}\right)}\to k$ with the property that $det^{S^3}(\otimes_{1\leq i<j<k\leq 3d}(v_{i,j,k})…