论文标题
模块化超级Yangian $ y_ {m | n} $的中心
The center of the modular super Yangian $Y_{m|n}$
论文作者
论文摘要
本文致力于研究与一般线性相关的超级Yangian $ y_ {m | n} $ superalgebra $ \ mathfrak {gl} _ {m | n} $，这是一个积极特征的领域。我们将$ y_ {m | n} $的drinfeld-type演示和特殊的超级Yangian $ sy_ {m | n} $扩展到阳性特征。此外，描述了$ y_ {m | n} $的中心$ z（y_ {m | n}）$：它是由其Harish-Chandra中心与大$ p $ center一起生成的。我们还研究了$ sy_ {m | n} $的$ p $中心，并提供了$ y_ {m | n} $的$ p $中心的另一个描述。
The present paper is devoted to studying the super Yangian $Y_{m|n}$ associated to the general linear Lie superalgebra $\mathfrak{gl}_{m|n}$ over a field of positive characteristic. We extend Drinfeld-type presentations of $Y_{m|n}$ and the special super Yangian $SY_{m|n}$ to positive characteristic. Moreover, the center $Z(Y_{m|n})$ of $Y_{m|n}$ is described: it is generated by its Harish-Chandra center together with a large $p$-center. We also study the $p$-center of $SY_{m|n}$ and provide another description of the $p$-center of $Y_{m|n}$ in terms of the RTT generators.
