Restricted shifted Yangians and restricted finite -algebras
Restricted shifted Yangians and restricted finite -algebras
复制标题
限制移位杨量和限制有限代数
DOI：
10.1090/btran/63
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发表时间：
2021
期刊：
影响因子：
--
通讯作者：
Goodwin S
中科院分区：
文献类型：
--
作者：
Goodwin S
研究了具有特征的代数闭域$\bbbk$上的截断移位Yangan，它与Mathfrak{g}=\mathfrak{gl}_N(\bbbk)$中对应的幂零元$e同构的有限代数同构.我们得到了的中心的一个明确描述，表明它是由它的Harish-Chandra中心和ITS-中心生成的。我们定义由其中心的平凡特征核生成的理想的商。我们的主要定理表明它同构于受限有限代数。作为结果，我们得到了这个受限代数的一个显式表示。参考文献
We study the truncated shifted Yangianover an algebraically closed field $\Bbbk $ of characteristic, which is known to be isomorphic to the finite-algebraassociated to a corresponding nilpotent element $ e\in\mathfrak {g}=\mathfrak {gl} _N (\Bbbk) $. We obtain an explicit description of the centre of, showing that it is generated by its Harish-Chandra centre and its-centre. We defineto be the quotient ofby the ideal generated by the kernel of trivial character of its-centre. Our main theorem states thatis isomorphic to the restricted finite-algebra. As a consequence we obtain an explicit presentation of this restricted-algebra. References