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

preprint2010arXivOpen access

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 $RLL$ realization, investigated by Faddeev, Reshetikhin and Takhtajan.

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

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Three realizations of quantum affine algebra Uq(A2(2))U_q(A_2^{(2)})Uq​(A2(2)​)

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