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Timeline for Trees in chain complexes

Current License: CC BY-SA 4.0

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Oct 12, 2020 at 20:37 history edited Glorfindel CC BY-SA 4.0
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Oct 12, 2020 at 20:25 history became hot network question
Oct 12, 2020 at 20:08 vote accept Surojit Ghosh
Oct 12, 2020 at 20:07 vote accept Surojit Ghosh
Oct 12, 2020 at 20:08
Oct 12, 2020 at 19:34 comment added F. C. There are small trees with wild representation type, for instance trees having one more vertex than affine Dynkin diagrams of type E.
Oct 12, 2020 at 19:32 answer added Tim Campion timeline score: 6
Oct 12, 2020 at 19:20 comment added Tim Campion Gabriel's theorem says that if $T$ is a Dynkin tree then the quiver representations of $T$ are well-behaved. I'm not sure how much is known about general trees. By the way, when you say "tree", do you just mean that the underlying undirected graph is a tree, or do you intend a condition on the orientations of the edges?
Oct 12, 2020 at 19:05 vote accept Surojit Ghosh
Oct 12, 2020 at 20:07
Oct 12, 2020 at 19:04 comment added Surojit Ghosh @TimCampion: Thanks. Is there any classification of the quiver representations of the form of a tree?
Oct 12, 2020 at 18:54 answer added Dmitri Pavlov timeline score: 6
Oct 12, 2020 at 17:41 comment added Tim Campion To clarify: if $T$ is a tree, a "tree in $Ch_{\mathbb Q}$" is the same thing as a functor $F(T) \to Ch_{\mathbb Q}$ where $F(T)$ is the free category on $T$ (thought of as a graph), right? In case you're not aware, the theory of quiver representations should be of interest to you.
Oct 12, 2020 at 9:55 history edited YCor CC BY-SA 4.0
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Oct 12, 2020 at 9:53 history asked Surojit Ghosh CC BY-SA 4.0