论文标题
作用于多项式环的循环基团的变形群
Deformation cohomology for cyclic groups acting on polynomial rings
论文作者
论文摘要
我们检查了霍奇柴尔德的共同研究，这些同时控制了在多项式环上的有限循环组的分级变形。我们将偏斜组代数$ s \ rtimes g $的无限分级变形分类，用于在多项式环$ s $上作用的环状$ g $。这给出了一阶的所有分级变形。我们对基础领域的特征划分代理群体的命令的情况特别感兴趣，这使得共同体的确定变得复杂。
We examine the Hochschild cohomology governing graded deformations for finite cyclic groups acting on polynomial rings. We classify the infinitesimal graded deformations of the skew group algebra $S\rtimes G$ for a cyclic group $G$ acting on a polynomial ring $S$. This gives all graded deformations of the first order. We are particularly interested in the case when the characteristic of the underlying field divides the order of the acting group, which complicates the determination of cohomology.
