首页 | 本学科首页   官方微博 | 高级检索  
     


Frobenius morphisms and stable module categories of repetitive algebras
Authors:Deng BangMing  Wan JinKui
Affiliation:(1) School of Mathematical Sciences, Beijing Normal University, Beijing, 100875, China
Abstract:Let k be the algebraic closure of a finite field (mathbb{F}_q ) and A be a finite dimensional k-algebra with a Frobenius morphism F. In the present paper we establish a relation between the stable module category of the repetitive algebra  of A and that of the repetitive algebra of the fixed-point algebra A F. As an application, it is shown that the derived category of A F is equivalent to the subcategory of F-stable objects in the derived category of A when A has a finite global dimension.
Keywords:Frobenius morphism  repetitive algebra  stable module category  derived category
本文献已被 CNKI SpringerLink 等数据库收录!
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号