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

Quantum Algebra 2015-05-19 v2

Abstract

In this article we establish explicit isomorphisms between three realizations of quantum twisted affine algebra Uq(A2(2))U_q(A_2^{(2)}): the Drinfeld ("current") realization, the Chevalley realization and the so-called RLLRLL realization, investigated by Faddeev, Reshetikhin and Takhtajan.

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Cite

@article{arxiv.1009.1932,
  title  = {Three realizations of quantum affine algebra $U_q(A_2^{(2)})$},
  author = {Alexander Shapiro},
  journal= {arXiv preprint arXiv:1009.1932},
  year   = {2015}
}

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15 pages