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In this paper the surjective homomorphism from the Drinfeld realization tothe Drinfeld and Jimbo presentation of affine quantum algebras is proved to beinjective. A consequence of the arguments used in the paper is the triangulardecomposition of the Drinfeld realization of affine quantum algebras also inthe twisted case. A presentation of the affine Kac-Moody algebras in terms ofthe "Drinfeld generators" is also provided.

From the Drinfeld realization to the Drinfeld-Jimbo presentation of affine quantum algebras: the injectivity