For affine special linear superalgebra sl (m|n, Π) defined by an arbitrary system of simple roots Π we define the affine super Yangian Y_ (sl (m|n, Π) ) as Hopf superalgebra which is a quantization of superbialgebra sl (m|n, Π) t and describe super Yangian in terms of minimalistic system of generators. We consider Drinfeld presentation for YD_ (sl (m|n, Π) ) and prove that these two presentations are isomorphic as associative superalgebras. We induce by means of this isomorphism a co-multiplication on the Drinfeld presentation YD_ (sl (m|n, Π) ) of the super Yangian. We introduce the action of Weyl groupoid by isomorphisms on super Yangians as an extension of its action on universal enveloping algebra and deformation of action on univesal enveloping superalgebra of current Lie superalgebra and prove that such extension exists and unique. As a consequence of this construction we obtain that super Yangians Y_ (sl (m|n, Π₁) ) and Y_ (sl (m|n, Π₂) ), defined by different simple root systems Π₁ and Π₂ are isomorphic as Hopf superalgebras.
Волков et al. (Sun,) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: