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- W2952805009 abstract "Let $Q$ be a tree-type quiver, $mathbf{k} Q$ its path algebra, and $lambda$ a nonzero element in the field $mathbf{k}$. We construct irreducible morphisms in the Auslander-Reiten quiver of the transjective component of the bounded derived category of $mathbf{k} Q$ that satisfy what we call the $lambda$-relations. When $lambda=1$, the relations are known as mesh relations. When $lambda=-1$, they are known as commutativity relations. Using this technique together with the results given by Baer-Geigle-Lenzing, Crawley-Boevey, Ringel, and others, we show that for any tree-type quiver, several descriptions of its preprojective algebra are equivalent." @default.
- W2952805009 created "2019-06-27" @default.
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- W2952805009 date "2016-12-05" @default.
- W2952805009 modified "2023-09-27" @default.
- W2952805009 title "Preprojective algebras of tree-type quivers" @default.
- W2952805009 doi "https://doi.org/10.48550/arxiv.1612.01585" @default.
- W2952805009 hasPublicationYear "2016" @default.
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