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arXiv:2403.18727v1 Announce Type: new
Abstract: Let $Y_2$ be the Yangian associated to the general linear Lie algebra $\mathfrak{gl}_2$, defined over an algebraically closed field $\mathbbm{k}$ of characteristic $p > 0$. In this paper, we study the representation theory of the restricted Yangian $Y^{[p]}_2$. This gives a description of the representations of $\mathfrak{gl}_{2n}$, whose $p$-character is a nilpotent whose Jordan type is the two-row partition $( n, n)$.
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