The center of modular shifted Yangians and parabolic generators
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866909797754863616 |
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| author | Chang, Hao Hu, Hongmei |
| author_facet | Chang, Hao Hu, Hongmei |
| contents | This paper is devoted to the study of the shifted Yangian $Y_n(σ)$ associated to the general linear Lie algebra $\mathfrak{gl}_n$ over a field of positive characteristic. We obtain an explicit description of the center $Z(Y_n(σ))$ of $Y_n(σ)$ in terms of parabolic generators, showing that it is generated by its Harish-Chandra center and its $p$-center. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_09773 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The center of modular shifted Yangians and parabolic generators Chang, Hao Hu, Hongmei Representation Theory This paper is devoted to the study of the shifted Yangian $Y_n(σ)$ associated to the general linear Lie algebra $\mathfrak{gl}_n$ over a field of positive characteristic. We obtain an explicit description of the center $Z(Y_n(σ))$ of $Y_n(σ)$ in terms of parabolic generators, showing that it is generated by its Harish-Chandra center and its $p$-center. |
| title | The center of modular shifted Yangians and parabolic generators |
| topic | Representation Theory |
| url | https://arxiv.org/abs/2409.09773 |