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arxiv: 1608.03331 · v4 · pith:I3A32OIOnew · submitted 2016-08-11 · 🧮 math.RT · math.AG· math.QA

Comultiplication for shifted Yangians and quantum open Toda lattice

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keywords shiftedcoproductlatticeopenquantumtodayangiansalgebra
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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.

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