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Feb 17, 2020 at 17:11 history edited Mike Pierce CC BY-SA 4.0
Fixed it better
Feb 17, 2020 at 17:01 history edited Mike Pierce CC BY-SA 4.0
Corrected the incorrect definition
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