Year: 2026
Type: preprint
Abstract: For any finite-dimensional algebra $A$, one can associate a graded algebra (denoted by $\mathrm{gr}(A)$) with the radical filtration of $A$. An interesting question is to compare the representation theories of $A$ and $\mathrm{gr}(A)$. When $A$ is a Brauer graph algebra with defining Brauer graph $Γ$, we have described the representation type of $\mathrm{gr}(A)$ in terms of the information of $Γ$. In this paper, we describe the representation type of $\mathrm{gr}(A)$ when $A$ is a biserial fractional Brauer graph algebra - a notion that properly generalizes a Brauer graph algebra - in terms of the information of the defining biserial fractional Brauer graph $Γ$ of $A$.
Source: arXiv (Cornell University)
Authors: Guo, Jing, Li, Nengqun, Liu, Yuming
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7223059824