Deformation cohomology for cyclic groups acting on polynomial rings

Autor:	Lawson, Colin M., Shepler, Anne V.
Rok vydání:	2022
Předmět:	Mathematics - Rings and Algebras Mathematics - Commutative Algebra Mathematics - Representation Theory 16E40 16S35 16E05 16E30 20C20
Druh dokumentu:	Working Paper
Popis:	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. Comment: 21 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2210.12245 Zobrazit plný text záznamu View this record from Arxiv