A Periodicity Property of Symmetric Algebras with Actions of Metacyclic Groups in the Modular Case  

作　　者：Yang ZHANG Jizhu NAN Haixian CHEN 

机构地区：[1]School of Mathematical Sciences,Dalian University of Technology,Liaoning 116024,P.R.China [2]School of Mathematical Sciences,Shanxi University,Shanxi 030006,P.R.China

出　　处：《Journal of Mathematical Research with Applications》2023年第6期665-672,共8页数学研究及应用（英文版）

基　　金：Supported by the National Natural Science Foundation of China(Grant No.12171194);the Natural Science Foundation for Young Scientists of Shanxi Province(Grant No.201901D211184)。

摘　　要：In this paper,we consider the decomposition of the symmetric algebra F[V]into indecomposables with linear actions of a metacyclic group G=C_(p)×H,where H is a p′-group,and prove a periodicity property of the symmetric algebra F[V]if V is a direct sum of indecomposable G-module such that the norm polynomial of the simple H-module is the power of the product of the basis elements of the dual.

关 键 词：indecomposable module symmetric algebra periodicity property 

分 类 号：O152[理学—数学]