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JOURNALS // Teoreticheskaya i Matematicheskaya Fizika // Archive

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

This article is cited in 1 paper

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.

Received: 18.07.2010

DOI: 10.4213/tmf6572


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

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© Steklov Math. Inst. of RAS, 2026