The associated graded algebras of Brauer graph algebras II: infinite representation type

2024/03/11 by Guo, Jing, Liu, Yuming, Ye, Yu
#FOS: Mathematics #Primary 16G20 #Representation Theory (math.RT) #Secondary 11Bxx

paper · doi:10.48550/arxiv.2403.06684

Abstract

Let G be a Brauer graph and A the associated Brauer graph algebra. Denote by gr(A) the graded algebra associated with the radical filtration of A. The question when gr(A) is of finite representation type was answered in [9]. In the present paper, we characterize when gr(A) is domestic in terms of the associated Brauer graph G.

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