A Drinfeld presentation, PBW basis, and Hopf superalgebra structure are constructed for the super Yangian of the exceptional Lie superalgebra D(2,1;λ).
Classification of Hopf superalgebra structures on Drinfeld super Yangians
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abstract
We construct a minimalistic presentation of Drinfeld super Yangians in the case of special linear superalgebra associated with an arbitrary Dynkin diagram. This gives us a possibility to introduce Hopf superalgebra structure on Drinfeld super Yangians. Using complete Weyl group we classify Drinfeld super Yangians endowed with mentioned Hopf superalgebra structures. Also it is constructed an isomorphism between completions of Drinfeld super Yangians and quantum loop superalgebras.
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Drinfeld super Yangian of the exceptional Lie superalgebra $D(2,1;\lambda)$
A Drinfeld presentation, PBW basis, and Hopf superalgebra structure are constructed for the super Yangian of the exceptional Lie superalgebra D(2,1;λ).