Modular representations of the Yangian Y 2 $Y_2$

IF 1 2区数学 Q1 MATHEMATICS

Journal of the London Mathematical Society-Second Series Pub Date : 2024-12-16 DOI:10.1112/jlms.70056

Hao Chang, Jinxin Hu, Lewis Topley

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引用次数: 0

Abstract

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

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来源期刊

Journal of the London Mathematical Society-Second Series 数学-数学

CiteScore

1.90

自引率

0.00%

发文量

186

审稿时长

6-12 weeks

期刊介绍： The Journal of the London Mathematical Society has been publishing leading research in a broad range of mathematical subject areas since 1926. The Journal welcomes papers on subjects of general interest that represent a significant advance in mathematical knowledge, as well as submissions that are deemed to stimulate new interest and research activity.