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arXiv · 2409.09773

The center of modular shifted Yangians and parabolic generators

Hao Chang·Hongmei Hu
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Abstract

This paper is devoted to the study of the shifted Yangian $Y_n(\sigma)$ associated to the general linear Lie algebra $\mathfrak{gl}_n$ over a field of positive characteristic. We obtain an explicit description of the center $Z(Y_n(\sigma))$ of $Y_n(\sigma)$ in terms of parabolic generators, showing that it is generated by its Harish-Chandra center and its $p$-center.

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Hao Chang, Hongmei Hu. 2024-09-15. The center of modular shifted Yangians and parabolic generators. https://arxiv.org/abs/2409.09773

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