Abstract
We define a comultiplication and consider the action of the Weyl groupoid on affine super Yangians \({{Y}_{\hbar }}(\hat {s}l(\left. m \right|n,\Pi ))\) of a special linear Kac–Moody superalgebra \(\hat {s}l(\left. m \right|n,\Pi )\) depending on an arbitrary system of simple roots П. Affine super Yangians of this kind form a category. Morphisms in this category are specified by the action of elements of the Weyl groupoid. All super Yangians from this category are isomorphic as Hopf superalgebras, but morphisms defined by the action of elements of the Weyl groupoid transform one comultiplication structure into another, generally speaking, different from the initial one. We describe the action of the Yangian Weyl groupoid and the coproduct on super Yangians.
