Classification of Hopf superalgebra structures on Drinfeld super Yangians

Alexander Mazurenko; Vladimir A. Stukopin

Classification of Hopf superalgebra structures on Drinfeld super Yangians

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arxiv 2210.08365 v1 pith:D253IU4N submitted 2022-10-15 math.QA

Alexander Mazurenko , Vladimir A. Stukopin This is my paper · ORCID

classification math.QA

keywords drinfeldsuperyangianssuperalgebrahopfstructuresarbitraryassociated

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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 $D(2,1;\lambda)$
math.QA 2025-04 conditional novelty 6.0 of 10

A Drinfeld presentation, PBW basis, and Hopf superalgebra structure are constructed for the super Yangian of the exceptional Lie superalgebra D(2,1;λ).

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