Abstract:
The Yangian Double of the Queer Lie superalgebra $Q_n$ is described in terms of current Drinfeld generators. We define the PBW basis for Yangian Double and compute Hopf pairing for elements of this basis. We derive the multiplicative formula for the universal $\mathrm{R}$-matrix of the Yangian Double $DY(Q_n)$ from these Hopf pairing formulas. We also describe a general construction of the Twisted Drinfeld Yangians.