For $l$ a positive integer, an affine Lie algebra $\widehat{\mathfrak{g}}$ has a level $l$ embedding $\phi_l: \widehat{\mathfrak{g}} \longrightarrow \widehat{\mathfrak{g}}$ which takes $x\otimes t^k$ to $x\otimes t^{kl}$ and multiplies the central extension by $l$. Can the map $\phi_l$ be deformed to a map of quantum affine algebras?
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