Timeline for Quiver representations of type $D_n$ mutation class
Current License: CC BY-SA 4.0
12 events
| when toggle format | what | by | license | comment | |
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| Mar 5, 2021 at 17:47 | history | edited | YCor | CC BY-SA 4.0 |
removed capitals from title
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| Mar 5, 2021 at 17:38 | answer | added | Matthew Pressland | timeline score: 5 | |
| Mar 4, 2021 at 16:13 | comment | added | Sam Hopkins | Welcome to MathOverflow, Kayla! :) | |
| Mar 3, 2021 at 23:28 | answer | added | Hugh Thomas | timeline score: 6 | |
| Mar 3, 2021 at 23:20 | comment | added | Hugh Thomas | Since your quiver can be obtained by a single mutation from an acyclic quiver, the indecomposable representations could also be obtained by starting with the indecomposable representations of the D_n quiver and then applying Derksen-Weyman-Zelevinsky mutation at the appropriate node. | |
| Mar 3, 2021 at 20:49 | comment | added | Mare | If the (given) algebra is reprentation-finite and you know the relations you can use QPA (folk.ntnu.no/oyvinso/QPA) to obtain all indecomposable representations (at least over a finite field). | |
| Mar 3, 2021 at 19:40 | comment | added | Kayla Wright | Hi Hugh! Thank you so much for the reply. Do you know if there is a classification of representations of these quivers if we impose these relations? I am a bit new to quiver representations and was trying to find classification theorems involving quivers with potential. | |
| Mar 3, 2021 at 17:54 | comment | added | Hugh Thomas | If you want the indecomposable representations that correspond to non-initial cluster variables, you need to impose relations. For each arrow, the sum of all the paths from the head of the arrow to the tail of the arrow (if any) should be zero. (If you don't do this, the quiver is wild and its representations are in a certain precise sense unclassifiable.) | |
| Mar 3, 2021 at 17:09 | history | edited | Kayla Wright | CC BY-SA 4.0 |
deleted 48 characters in body
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| Mar 3, 2021 at 16:59 | history | edited | gmvh | CC BY-SA 4.0 |
Improved formatting
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| Mar 3, 2021 at 16:40 | review | First posts | |||
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| Mar 3, 2021 at 16:33 | history | asked | Kayla Wright | CC BY-SA 4.0 |