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arXiv · 2403.06684

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

Jing Guo·Yuming Liu·Yu Ye
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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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BibTeXRIS

Jing Guo, Yuming Liu, Yu Ye. 2024-03-11. The associated graded algebras of Brauer graph algebras II: infinite representation type. https://arxiv.org/abs/2403.06684

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