Multi-layer quivers and higher slice algebras

2022/05/31 by Jinyun Guo, Guo, Jin Yun, Yanping Hu +3
Mathematics · Computer Science · #Algebraic structures and combinatorial models #Commutative Algebra and Its Applications #Topological and Geometric Data Analysis

paper · pdf · doi:10.48550/arxiv.2205.15487

Abstract

In this paper, we introduce multi-layer quiver and show how to construct an (n+1)-slice algebras of infinite type from an n-slice algebra of infinite type using the bound quivers. This leads to constructing (n+1)-slice algebras of infinite type as matrix algebra and as tensor algebra of an n-slice algebra and equivalences of their module categories as the module categories of diagram of some quiver of type \widetildeA_n+1.

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