Homomorphisms between different quantum toroidal and affine Yangian algebras

Mikhail Bershtein, Alexander Tsymbaliuk

This paper concerns the relation between the quantum toroidal algebras and the affine Yangians of ${\mathfrak{sl}}_n$, denoted by ${\mathcal{U}}_{q_1,q_2,q_3}^{(n)}$ and $\mathcal{Y}^{…