A Drinfeld Presentation of the Queer Super-Yangian

Abstract

We introduce a Drinfeld presentation for the super-Yangian $\mathrm{Y}({\mathfrak{q}}_n)$ associated with the queer Lie superalgebra ${\mathfrak{q}}_n$. The Drinfeld generators of $\mathrm{Y}({\mathfrak{q}}_n)$ are obtained through a block Gauss decomposition of the generator matrix in its RTT presentation, and the Drinfeld relations are explicitly computed by utilizing a block version of its RTT relations. As a byproduct, we obtain a new expression for the central series of $\mathrm{Y}({\mathfrak{q}}_n)$ in terms of Gauss generators.

arXiv commentA new section about the center of Yqn has been added in version 2