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- W3204306419 abstract "In this paper, we study representations of certain string algebras, which are referred to as of type $widetilde{C}_{n-1}$. We introduce minimal string modules and apply them to explicitly describe components of the Auslander-Reiten quivers of the string algebras and $tau$-locally free modules defined by Geiss-Lerclerc-Schr{o}er. As an application, we prove Geiss-Leclerc-Schr{o}er's conjecture on the correspondence between positive roots of type $widetilde{C}_{n-1}$ and $tau$-locally free modules of the corresponding string algebras." @default.
- W3204306419 created "2021-10-11" @default.
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- W3204306419 date "2021-10-06" @default.
- W3204306419 modified "2023-09-27" @default.
- W3204306419 title "The Auslander-Reiten quivers of string algebras of type $widetilde{C}_{n-1}$ and a conjecture by Geiss-Leclerc-Schr{o}er" @default.
- W3204306419 hasPublicationYear "2021" @default.
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