Three realizations of quantum affine algebra $U_q(A_2^{(2)})$

Alexander Shapiro

doi:10.1007/s11232-010-0118-z

paper

Three realizations of quantum affine algebra $U_{q} (A_{2}^{(2)})$

arXiv:1009.1932 · doi:10.1007/s11232-010-0118-z

Abstract

In this article we establish explicit isomorphisms between three realizations of quantum twisted affine algebra $U_{q} (A_{2}^{(2)})$ : the Drinfeld ("current") realization, the Chevalley realization and the so-called $R LL$ realization, investigated by Faddeev, Reshetikhin and Takhtajan.

15 pages

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Three realizations of quantum affine algebra $U_{q} (A_{2}^{(2)})$