A Drinfeld-type presentation of the orthosymplectic Yangians

A. I. Molev

Abstract

We use the Gauss decomposition of the generator matrix in the $R$-matrix presentation of the Yangian for the orthosymplectic Lie superalgebra ${\mathfrak{o}\mathfrak{s}\mathfrak{p}}_{N|2m}$ to produce its Drinfeld-type presentation. The results rely on the work of Gow (2007) concerning the ${\mathfrak{g}\mathfrak{l}}_{n|m}$ 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.