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arxiv: 1009.1932 · v2 · pith:QZAAMJL3new · submitted 2010-09-10 · 🧮 math.QA

Three realizations of quantum affine algebra U_q(A₂⁽²⁾)

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keywords realizationaffinealgebraquantumrealizationsthreearticlechevalley
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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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