A Drinfeld-type presentation of the orthosymplectic Yangians

Abstract

We use the Gauss decomposition of the generator matrix in the $R$-matrix presentation of the Yangian for the orthosymplectic Lie superalgebra ${\mathfrak{o}sp}_{N|2m}$ to produce its Drinfeld-type presentation. The results rely on a super-version of the embedding theorem which allows one to identify a subalgebra in the $R$-matrix presentation which is isomorphic to the Yangian associated with ${\mathfrak{o}sp}_{N|2m-2}$.

arXiv comment30 pages, minor changes

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Cited by in corpus (2)

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