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We show that the quantum affine algebra $U_{q}(A_{1}^{(1)})$ and the quantumaffine superalgebra $U_{q}(C(2)^{(2)})$ admit a unified description. Thedifference between them consists in the phase factor which is equal to 1 for$U_{q}(A_{1}^{(1)})$ and it is equal to -1 for $U_{q}(C(2)^{(2)})$. We presentsuch a description for the actions of the braid group, for the construction ofCartan-Weyl generators and their commutation relations, as well for theextremal projector and the universal R-matrix. We give also a unifieddescription for the 'new realizations' of these algebras together with explicitcalculations of corresponding R-matrices.Comment: 22 pages, LaTe

Quantum Affine (Super)Algebras¶ U q ( A 1 (1) ) and U q ( C (2) (2) )