Three realizations of the~quantum affine algebra~$U_q(A_2^{(2)})$
Teoretičeskaâ i matematičeskaâ fizika, Tome 165 (2010) no. 2, pp. 217-232
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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.
@article{TMF_2010_165_2_a1,
author = {A. M. Shapiro},
title = {Three realizations of the~quantum affine algebra~$U_q(A_2^{(2)})$},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {217--232},
publisher = {mathdoc},
volume = {165},
number = {2},
year = {2010},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_2010_165_2_a1/}
}
A. M. Shapiro. Three realizations of the~quantum affine algebra~$U_q(A_2^{(2)})$. Teoretičeskaâ i matematičeskaâ fizika, Tome 165 (2010) no. 2, pp. 217-232. http://geodesic.mathdoc.fr/item/TMF_2010_165_2_a1/