A Drinfeld-Type Presentation of the Orthosymplectic Yangians

Abstract

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