2021/05/15 by Raimund Preusser, Preusser, Raimund
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Representation Theory (math.RT) #Rings and Algebras (math.RA) #Rings, Modules, and Algebras
paper · pdf · doi:10.48550/arxiv.2105.07265
openalex publication_date 2021/05/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The paper introduces the notion of a representation k-graph (Δ,α) for a given k-graph Λ. It is shown that any representation k-graph for Λ yields a module for the Kumjian-Pask algebra KP(Λ), and the representation k-graphs yielding simple modules are characterised. Moreover, the category RG(Λ) of representation k-graphs for Λ is investigated using the covering theory of higher-rank graphs.