Representations of the super-Yangian of type $B(n,m)$

Abstract

We are concerned with finite-dimensional irreducible representations of the Yangians associated with the orthosymplectic Lie superalgebras ${\mathfrak{o}sp}_{2n+1|2m}$. Every such representation is highest weight and we use embedding theorems and odd reflections of Yangian type to derive necessary conditions for an irreducible highest weight representation to be finite-dimensional. We conjecture that these conditions are also sufficient. We prove the conjecture in the case $n=1$ and arbitrary $m⩾1$.

19 pages. arXiv admin note: text overlap with arXiv:2110.12784

References in corpus (6)

• Representations of the super Yangians of types $A$ and $C$
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Cited by in corpus (1)

• Representations of the super-Yangian of type $D(n,m)$