arXiv Open Access 2024

Modular representations of the Yangian $Y_2$

Hao Chang Jinxin Hu Lewis Topley

Lihat Sumber

Abstrak

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 leads to a description of the representations of $\mathfrak{gl}_{2n}$, whose $p$-character is nilpotent with Jordan type given by a two-row partition $(n, n)$.

Topik & Kata Kunci

math.RT

Penulis (3)

Hao Chang

Jinxin Hu

Lewis Topley

Format Sitasi

APA MLA BibTeX

Chang, H., Hu, J., Topley, L. (2024). Modular representations of the Yangian $Y_2$. https://arxiv.org/abs/2403.18727

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2024
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓