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arXiv · 2112.10419

A Drinfeld-type presentation of the orthosymplectic Yangians

A. I. Molev
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Abstract

We use the Gauss decomposition of the generator matrix in the $R$-matrix presentation of the Yangian for the orthosymplectic Lie superalgebra ${\frak osp}_{N|2m}$ 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 ${\frak osp}_{N|2m-2}$.

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BibTeXRIS

A. I. Molev. 2021-12-20. A Drinfeld-type presentation of the orthosymplectic Yangians. https://doi.org/10.1007/s10468-023-10227-9

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