A Drinfeld-type presentation of the orthosymplectic Yangians

A. I. Molev


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 the work of Gow (2007) concerning the \({\frak gl}_{n|m}\) Yangians and our work with Jing and Liu (2018) devoted to the orthogonal and symplectic Yangians. One exception is the embedding theorem whose proof required a different approach in the super case.

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Wednesday, December 29, 2021