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arXiv · 1603.04129

Elliptic Quantum Groups U_{q,p}(gl_N) and E_{q,p}(gl_N)

Hitoshi Konno
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Abstract

We reformurate a central extension of Felder's elliptic quantum group in the FRST formulation as a topological algebra E_{q,p}(gl_N) over the ring of formal power series in p. We then discuss the isomorphism between E_{q,p}(gl_N) and the elliptic algebra U_{q,p}(gl_N) of the Drinfeld realization. An evaluation H-algebra homomorphism from U_{q,p}(gl_N) to a dynamical extension of the quantum affine algebra U_q(gl_N) resolves the problem into the one discussed by Ding and Frenkel in the trigonometric case. We also provide some useful formulas for the elliptic quantum determinants.

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BibTeXRIS

Hitoshi Konno. 2016-03-14. Elliptic Quantum Groups U_{q,p}(gl_N) and E_{q,p}(gl_N). https://arxiv.org/abs/1603.04129

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