Timeline for Quiver with two objects and two arrows composing to zero
Current License: CC BY-SA 4.0
8 events
| when toggle format | what | by | license | comment | |
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| Jul 10, 2022 at 12:22 | comment | added | Piotr Pstrągowski | The short answer is yes (although these are not representations over a field). Informally, you get the quiver I described by considering integral homology and mod p homology at the same time, the two maps between them being the natural projection and the Bockstein. There are natural "higher height" analogues of integral homology, namely truncated Brown-Peterson spectra, whose coefficient ring is now n-dimensional, with a distinguished regular sequence of generators. Then one gets the n-length analogue of this quiver by considering homology with coefficients in the corresponding quotient. | |
| Jul 5, 2022 at 6:10 | comment | added | Severin Barmeier | As you can see from the variety of answers, this algebra arises naturally in many contexts — it is a Nakayama algebra, a gentle algebra, an extended Khovanov arc algebra, etc. Are there also natural higher-dimensional analogues in your setting? | |
| Jul 4, 2022 at 23:36 | vote | accept | Piotr Pstrągowski | ||
| Jul 4, 2022 at 14:10 | history | became hot network question | |||
| Jul 4, 2022 at 9:08 | answer | added | Mare | timeline score: 7 | |
| Jul 4, 2022 at 8:01 | answer | added | Fabian Haiden | timeline score: 6 | |
| Jul 4, 2022 at 6:39 | answer | added | Nicolas Hemelsoet | timeline score: 10 | |
| Jul 4, 2022 at 6:10 | history | asked | Piotr Pstrągowski | CC BY-SA 4.0 |