On selfinjective algebras of stable dimension zero

2010/04/10 by Michio Yoshiwaki, Yoshiwaki, Michio
Mathematics · #16G60 #18E30 #FOS: Mathematics #Representation Theory (math.RT) #Rings and Algebras (math.RA) #math.RA #math.RT #msc:16G60 #msc:18E30

paper · pdf · doi:10.48550/arxiv.1004.1723

arxiv created 2010/11/24 · arxiv updated 2010/11/25

Abstract

Let A be a selfinjective algebra over an algebraically closed field. We study the stable dimension of A, which is the dimension of the stable module category of A in the sense of Rouquier. Then we prove that A is representation-finite if the stable dimension of A is 0.

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