Abstract
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.
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