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

Abstract

We introduce the quantum determinant for the elliptic quantum algebra ${\mathcal{A}}_{q,p}({\widehat{\mathfrak{gl}}}_N)$ and prove that it generates the center of this algebra.

arXiv comment16 pages

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Cited by in corpus (3)

• Elliptic deformation of ${\mathcal{W}}_N$-algebras
• Yangian deformations of $\mathcal{S}$-commutative quantum vertex algebras and Bethe subalgebras
• On two families of quantum vertex algebras of FRT-type