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

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

2004-12-05

arxiv.org/abs/math/0412100v2

Commun.Theor.Phys. 39 (2003) 67-72

Mathematics

Quantum Algebra

11-pages, no figures

Scientific paper

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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