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TMF, 2010, Volume 165, Number 2, Pages 217–232 (Mi tmf6572)  

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

A. M. Shapiro

Institute for Theoretical and Experimental Physics, Moscow, Russia

Abstract: We establish explicit isomorphisms between three realizations of the quantum twisted affine algebra $U_q(A_2^{(2)})$: the Drinfeld current realization, the Chevalley realization, and the so-called $RLL$ realization proposed by Reshetikhin, Takhtajan, and Faddeev.

Keywords: quantum affine algebra, $RLL$ realization

DOI: https://doi.org/10.4213/tmf6572

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English version:
Theoretical and Mathematical Physics, 2010, 165:2, 1421–1434

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Document Type: Article
Received: 18.07.2010

Citation: A. M. Shapiro, “Three realizations of the quantum affine algebra $U_q(A_2^{(2)})$”, TMF, 165:2 (2010), 217–232; Theoret. and Math. Phys., 165:2 (2010), 1421–1434

Citation in format AMSBIB
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