Proves degeneration isomorphism identifying the affine Yangian as the associated graded of the quantum toroidal algebra, yielding PBW bases and classical limit U(g[u]).
From the Drinfeld realization to the Drinfeld-Jimbo presentation of affine quantum algebras: injectivity
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Affine Yangians as Limits of Quantum Toroidal Algebras
Proves degeneration isomorphism identifying the affine Yangian as the associated graded of the quantum toroidal algebra, yielding PBW bases and classical limit U(g[u]).