Timeline for What's an illustrative example of a tame algebra?
Current License: CC BY-SA 4.0
11 events
when toggle format | what | by | license | comment | |
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Feb 17, 2020 at 17:11 | history | edited | Mike Pierce | CC BY-SA 4.0 |
Fixed it better
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Feb 17, 2020 at 17:01 | history | edited | Mike Pierce | CC BY-SA 4.0 |
Corrected the incorrect definition
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Feb 17, 2020 at 16:56 | vote | accept | Mike Pierce | ||
Feb 17, 2020 at 16:55 | comment | added | Mike Pierce | @AlexDugas Yeah, the definition is non-standard, because it's not correct. ;) Reading the definition here I misunderstood; there are not finitely many dimension vectors excepted, but finitely many indecomposables that live outside of a one-parameter family per dimension vector, just as you say. And according to what Hugh Thomas is saying below here and here, this is not equivalent to the correct definition. | |
Feb 14, 2020 at 22:30 | comment | added | Alex Dugas | I think this definition of tame is not quite standard (although it is perhaps equivalent to the standard definition). There usually is not an exception for any dimension vectors $d$. Instead it is required that for every dimension $d$, the indecomposable reps of dimension $d$, with finitely many exceptions, are described by a finite number of one-parameter families. If one allows constant one-parameter families, then the phrase "with finitely many exceptions" can be removed. | |
Feb 14, 2020 at 19:55 | history | became hot network question | |||
Feb 14, 2020 at 15:29 | answer | added | David E Speyer | timeline score: 6 | |
Feb 14, 2020 at 14:56 | answer | added | Hugh Thomas | timeline score: 5 | |
Feb 14, 2020 at 13:14 | answer | added | Bugs Bunny | timeline score: 3 | |
Feb 14, 2020 at 12:59 | comment | added | Mare | The part 3 of the book by Skowronski and Simson has a chapter on this topic including smoe other tame examples. | |
Feb 14, 2020 at 11:51 | history | asked | Mike Pierce | CC BY-SA 4.0 |