The center of modular shifted Yangians and parabolic generators

Fuente: arXiv
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Main Authors: Chang, Hao, Hu, Hongmei
Format: Preprint
Published: 2024
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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