Modular representations of the Yangian Y₂

Let Y₂ be the Yangian associated to the general linear Lie algebra gl₂, defined over an algebraically closed field k of characteristic p > 0. In this paper, we study the representation theory of the restricted Yangian Y^p₂. This gives a description of the representations of gl₂₍, whose p-character is a nilpotent whose Jordan type is the two-row partition (n, n).