The connection between the R-matrix realization and Drinfeld’s realization of the quantum loop algebra is considered using the Gaussian decomposition approach proposed in Ding and Frenkel [Isomorphism of two realizations of quantum affine algebra , Commun. Math. Phys. 156, 277 (1993)]. Our main result is a description of the embedding homomorphism which relates the quantum affine algebra of rank n − 1 with a subalgebra of the corresponding algebra of rank n. Explicit relations between all Gaussian coordinates of the L-operators and the currents are presented.
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