Hopf superalgebra structure for Drinfeld super Yangian of Lie superalgebra $B(m,n)$

Alexander Mazurenko

Hopf superalgebra structure for Drinfeld super Yangian of Lie superalgebra $B(m,n)$

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arxiv 2309.09735 v1 pith:C42FWHG5 submitted 2023-09-18 math.QA

Alexander Mazurenko This is my paper · ORCID

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keywords superalgebradrinfeldsuperhopfstructureyangianborelchoices

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abstract

We construct a Hopf superalgebra structure for a Drinfeld super Yangian of Lie superalgebra $B(m,n)$ relative to all possible choices of Borel subalgebras. In order to do this we introduce a simplified definition of Drinfeld super Yangians.

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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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