The Center for the Elliptic Quantum Group $E_{τ,η}(sl_n)$

Zhao, Shao-You; Shi, Kang-Jie; Yue, Rui-Hong

The Center for the Elliptic Quantum Group $E_{τ,η}(sl_n)$

Authors

Zhao, Shao-You

Shi, Kang-Jie

Yue, Rui-Hong

Description

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.
11-pages, no figures