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Elliptic Quantum Groups U_{q,p}(gl_N) and E_{q,p}(gl_N) (1603.04129v2)
Published 14 Mar 2016 in math.QA, hep-th, math-ph, math.AG, math.MP, and math.RT
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.