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| Format: | Preprint |
| Veröffentlicht: |
2024
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| Schlagworte: | |
| Online-Zugang: | https://arxiv.org/abs/2403.18727 |
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| _version_ | 1866909397916057600 |
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| author | Chang, Hao Hu, Jinxin Topley, Lewis |
| author_facet | Chang, Hao Hu, Jinxin Topley, Lewis |
| contents | 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 $(n, n)$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_18727 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Modular representations of the Yangian $Y_2$ Chang, Hao Hu, Jinxin Topley, Lewis Representation Theory 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 $(n, n)$. |
| title | Modular representations of the Yangian $Y_2$ |
| topic | Representation Theory |
| url | https://arxiv.org/abs/2403.18727 |