Frobenius morphisms and stable module categories of repetitive algebras

Deng Bangming; Wan Jinkui

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Frobenius morphisms and stable module categories of repetitive algebras

Deng Bangming * #,Wan Jinkui

Beijing Normal University

*Correspondence author

#Submitted by

Subject:

Funding: 国家自然科学基金、教育部博士点基金（No.20030027002）

Opened online:24 November 2006

Accepted by: none

Citation: Deng Bangming,Wan Jinkui.Frobenius morphisms and stable module categories of repetitive algebras [OL]. [24 November 2006] http://en.paper.edu.cn/en_releasepaper/content/9895

Let $k$ be the algebraic closure of a finite field and let $A$ be a finite dimensional $k$-algebra with a Frobenius morphism $F:A\to A$. 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, we provide an alternative proof of [4. Theorem 5.4].

Keywords:Frobenius morphism；repetitive algebra； stable module category

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