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- W4297310853 abstract "Let E be an arbitrary graph, K be any field and let L be the corresponding Leavitt path algebra. Necessary and sufficient conditions (which are both algebraic and graphical) are given under which all the irreducible representations of L are finitely presented. In this case, the graph E turns out to be row finite and the cycles in E form an artinian partial ordered set under a defined preorder. When the graph E is finite, the above graphical conditions were shown to be equivalent to the algebra L having finite Gelfand-Kirillov dimension in a paper by Alahmadi, Alsulami, Jain and Zelmanov. Examples are constructed showing that this equivalence no longer holds if the graph is infinite and a complete description is obtained of Leavitt path algebras over arbitrary graphs having finite Gelfand-Kirillov dimension" @default.
- W4297310853 created "2022-09-28" @default.
- W4297310853 creator A5068758107 @default.
- W4297310853 date "2015-01-08" @default.
- W4297310853 modified "2023-09-23" @default.
- W4297310853 title "Leavitt path algebras with finitely presented irreducible representations" @default.
- W4297310853 doi "https://doi.org/10.48550/arxiv.1501.01781" @default.
- W4297310853 hasPublicationYear "2015" @default.
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