Modular representations of the Yangian Y₂

2024/03/27 by Hao Chang, Chang, Hao, Jinxin Hu +3 · 1 citation
Mathematics · #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.2403.18727

openalex publication_date 2024/03/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let Y₂ be the Yangian associated to the general linear Lie algebra \mathfrakgl₂, defined over an algebraically closed field \mathbbmk of characteristic p > 0. In this paper, we study the representation theory of the restricted Yangian Y^[p]₂. This leads to a description of the representations of \mathfrakgl_2n, whose p-character is nilpotent with Jordan type given by a two-row partition (n, n).

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• Modular orthogonal Yangians

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