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The quantum determinant of the elliptic algebra $ {\mathcal{A}_{q, p}(\mathfrak{\widehat{gl}}_N)}$

The quantum determinant of the elliptic algebra $ {\mathcal{A}_{q, p}(\mathfrak{\widehat{gl}}_N)}$

We introduce the quantum determinant for the elliptic quantum algebra A q,p ( gl N ) and prove that it generates the center of this algebra.We also show that it is group-like for the quasi-Hopf structure, which allows us to define the elliptic quantum algebra A q,p ( sl N …