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

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

2010-09-10

arxiv.org/abs/1009.1932v2

Theor. and Math. Phys., 165(2), 217-232 (2010)

Mathematics

Quantum Algebra

15 pages

Scientific paper

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

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