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A Drinfeld-type presentation of the orthosymplectic Yangians (2112.10419v2)
Published 20 Dec 2021 in math.QA, math-ph, math.MP, and math.RT
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 ${\frak osp}{N|2m-2}$.