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Three realizations of the quantum affine algebra U q (A 2 (2)

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Abstract

We establish explicit isomorphisms between three realizations of the quantum twisted affine algebra U q (A2(2): the Drinfeld current realization, the Chevalley realization, and the so-called RLL realization proposed by Reshetikhin, Takhtajan, and Faddeev.

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Authors and Affiliations

  1. Institute of Theoretical and Experimental Physics, Moscow, Russia

    A. M. Shapiro

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  1. A. M. Shapiro
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Correspondence to A. M. Shapiro.

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Prepared from an English manuscript submitted by the author; for the Russian version, see Teoreticheskaya i Matematicheskaya Fizika, Vol. 165, No. 2, pp. 217–232, November, 2010.

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Shapiro, A.M. Three realizations of the quantum affine algebra U q (A 2 (2) . Theor Math Phys 165, 1421–1434 (2010). https://doi.org/10.1007/s11232-010-0118-z

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  • DOI: https://doi.org/10.1007/s11232-010-0118-z

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