Abstract
We use the Gauss decomposition of the generator matrix in the R-matrix presentation of the Yangian for the orthosymplectic Lie superalgebra \(\mathfrak {osp}_{N|2m}\) 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 \(\mathfrak {osp}_{N|2m-2}\).
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Open Access funding enabled and organized by CAUL and its Member Institutions. This work was supported by the Australian Research Council, grant DP180101825.
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Presented by: Vyjayanthi Chari.
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Molev, A.I. A Drinfeld-Type Presentation of the Orthosymplectic Yangians. Algebr Represent Theor 27, 469–494 (2024). https://doi.org/10.1007/s10468-023-10227-9
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DOI: https://doi.org/10.1007/s10468-023-10227-9