Gaussian generators for the Yangian associated with the Lie superalgebra $\mathfrak{osp}(1|2m)$

Abstract

We give a new presentation of the Yangian for the orthosymplectic Lie superalgebra ${\mathfrak{osp}}_{1|2m}$. It relies on the Gauss decomposition of the generator matrix in the $R$-matrix presentation. The defining relations between the Gaussian generators are derived from a new version of the Drinfeld-type presentation of the Yangian for ${\mathfrak{osp}}_{1|2}$ and some additional relations in the Yangian for ${\mathfrak{osp}}_{1|4}$ by an application of the embedding theorem for the super-Yangians.

33 pages, more explicit connection with the work of Arnaudon et al. (2003) is made, coproduct formulas added. arXiv admin note: text overlap with arXiv:2112.10419

References in corpus (1)

• Gauss Decomposition of the Yangian Y(gl_{m|n})

Cited by in corpus (1)

• Orthosymplectic Yangians