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

Quantum Algebra 2018-10-10 v3 Mathematical Physics math.MP

Abstract

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

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Cite

@article{arxiv.1803.00311,
  title  = {The quantum determinant of the elliptic algebra $\mathcal{A}_{q,p}(\mathfrak{\widehat{gl}}_N)$},
  author = {L. Frappat and D. Issing and E. Ragoucy},
  journal= {arXiv preprint arXiv:1803.00311},
  year   = {2018}
}

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16 pages