The Center for the Elliptic Quantum Group E_τ,η(sl_n)

2004/12/07 by Shao-You Zhao, Kang-Jie Shi, Rui-Hong Yue
Mathematics · Physics and Astronomy · #math.QA #hep-th

paper · pdf

published as Commun.Theor.Phys. 39 (2003) 67-72 · 11-pages, no figures

arxiv created 2004/12/07 · arxiv updated 2009/12/01

Abstract

We give the center of the elliptic quantum group in general case. Based on the Dynamic Yang-Baxter Relation and the fusion method, we prove that the center commute with all generators of the elliptic quantum group. Then for a kind of assumed form of these generators, we find that the coefficients of these generators form a new type closed algebra. We also give the center for the algebra.

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