Comultiplication for shifted Yangians and quantum open Toda lattice
arXiv:1608.03331
Abstract
We study a coproduct in type A quantum open Toda lattice in terms of a coproduct in the shifted Yangian of sl_2. At the classical level this corresponds to the multiplication of scattering matrices of euclidean SU(2) monopoles. We also study coproducts for shifted Yangians for any simply-laced Lie algebra.
To David Kazhdan on his 70th birthday, with admiration. Final version to appear in Advances in Mathematics