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In \cite{S} O. Schiffmann gave a presentation of the Drinfel'd double of theelliptic Hall algebra which is similar in spirit to Drinfel'd's new realizationof quantum affine algebras. Using this result together with a part of his proofwe can provide such a description for the elliptic Hall algebra.

Addendum to Olivier Schiffmann, "Drinfeld realization of the elliptic Hall algebra"