Timeline for Trees in chain complexes
Current License: CC BY-SA 4.0
13 events
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Oct 12, 2020 at 20:37 | history | edited | Glorfindel | CC BY-SA 4.0 |
deleted 1 character in body
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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 |