Representations of the modular shifted super Yangian $Y_{1|1}(\sigma)$

Hao Chang; Ruiying Hou; Hui Wu

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arXiv · 2603.03766

Representations of the modular shifted super Yangian $Y_{1|1}(\sigma)$

Hao Chang·Ruiying Hou·Hui Wu

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Abstract

Let $Y_{1|1}$ be the Yangian associated to the general linear Lie superalgebra $\mathfrak{gl}_{1|1}$, defined over an algebraically closed field $\mathbbm{k}$ of characteristic $p>2$. In this paper, we classify the finite dimensional irreducible representations of the restricted super Yangian $Y_{1|1}^{[p]}$ and the restricted truncated shifted super Yangian $Y_{1|1,\ell}^{[p]}(\sigma)$.

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Hao Chang, Ruiying Hou, Hui Wu. 2026-03-04. Representations of the modular shifted super Yangian $Y_{1|1}(\sigma)$. https://arxiv.org/abs/2603.03766

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