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- W2963020568 abstract "We study representations of a Leavitt path algebra L of a finitely separated digraph Γ over a field. We show that the category of L-modules is equivalent to a full subcategory of quiver representations. When Γ is a (non-separated) row-finite digraph we determine all possible finite dimensional quotients of L after giving a necessary and sufficient graph theoretic criterion for the existence of a nonzero finite dimensional quotient. This criterion is also equivalent to L having UGN (Unbounded Generating Number) as well as being algebraically amenable. We also realize the category of L-modules as a retract, hence a quotient by an explicit Serre subcategory of the category of quiver representations (that is, FΓ-modules) via a new colimit model for M⊗FΓL." @default.
- W2963020568 created "2019-07-30" @default.
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- W2963020568 date "2020-03-01" @default.
- W2963020568 modified "2023-10-01" @default.
- W2963020568 title "Representations of Leavitt path algebras" @default.
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- W2963020568 doi "https://doi.org/10.1016/j.jpaa.2019.07.018" @default.
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