Timeline for "quantum" symmetric plane partitions beget alternating sign matrices?
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| Jun 10, 2021 at 23:03 | history | bumped | CommunityBot | This question has answers that may be good or bad; the system has marked it active so that they can be reviewed. | |
| Feb 10, 2021 at 22:01 | history | bumped | CommunityBot | This question has answers that may be good or bad; the system has marked it active so that they can be reviewed. | |
| Oct 13, 2020 at 21:03 | history | bumped | CommunityBot | This question has answers that may be good or bad; the system has marked it active so that they can be reviewed. | |
| Sep 13, 2020 at 20:09 | history | edited | Sam Hopkins |
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| Sep 13, 2020 at 17:08 | history | bumped | CommunityBot | This question has answers that may be good or bad; the system has marked it active so that they can be reviewed. | |
| Jun 15, 2020 at 7:27 | history | edited | CommunityBot |
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| May 16, 2020 at 16:26 | answer | added | Sam Hopkins | timeline score: 1 | |
| Mar 1, 2017 at 1:38 | history | edited | T. Amdeberhan | CC BY-SA 3.0 |
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| Jan 26, 2017 at 15:02 | history | edited | T. Amdeberhan | CC BY-SA 3.0 |
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| Jan 5, 2017 at 19:05 | history | edited | T. Amdeberhan | CC BY-SA 3.0 |
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| Dec 7, 2016 at 13:44 | comment | added | Sam Hopkins | @T.Amdeberhan @darijgrinberg: Note that, according to equation (6.5) of that survey paper of Krattenthaler's, we have $f_n(q) = \sum_{\pi} q^{|\pi|_0}$, sum over TSPP $\pi$ in a $n \times n \times n$ box. Here $|\pi|_0 = \sum_{1\leq i \leq j} \pi_{i,j}$ (definition on previous page). So this is not the usual weight $|\pi|$ but a kind of ``half'' weight. | |
| Dec 6, 2016 at 23:28 | comment | added | Sam Hopkins | @darijgrinberg: See also section 6 of the survey paper arxiv.org/abs/1503.05934v2. | |
| Dec 6, 2016 at 23:13 | comment | added | darij grinberg | Oh, that's a very simple statistic :) Nice! I only knew the $3n+1$ particular case of the formula... | |
| Dec 6, 2016 at 23:11 | comment | added | Sam Hopkins | @darijgrinberg: see arxiv.org/abs/1002.4384 | |
| Dec 6, 2016 at 14:36 | comment | added | T. Amdeberhan | Instead of $\sum_{\pi}1$, you do the weighted sum $\sum_{\pi}q^{\vert\pi\vert}$. | |
| Dec 6, 2016 at 8:09 | comment | added | darij grinberg | Curiosity asking: Is there even such a thing as "quantum symmetric plane partitions" known? I understand that $f_n(q)$ is a natural way to quantize the generating series, but do we know a statistic on symmetric plane partitions that the yields this series as generating function? (Sorry if this is something well-known.) | |
| Dec 6, 2016 at 2:13 | comment | added | T. Amdeberhan | @RichardStanley: Thank you. I'm hopeful someone succeeds with a proof, my argument for this result is L'Hopital and algebraic manipulations. | |
| Dec 6, 2016 at 2:00 | comment | added | Richard Stanley | Your conjecture is a nice example of Stembridge's $q=-1$ phenomenon, not that this observation helps with a proof. | |
| Dec 6, 2016 at 0:35 | comment | added | T. Amdeberhan | Thank you for the reference. I'm encouraged by the comments there, including yours. Perhaps there is hope for my question then. | |
| Dec 6, 2016 at 0:28 | comment | added | Per Alexandersson | Maybe it is related to this question? mathoverflow.net/questions/247965/… | |
| Dec 6, 2016 at 0:06 | history | edited | T. Amdeberhan | CC BY-SA 3.0 |
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| Dec 5, 2016 at 23:11 | history | asked | T. Amdeberhan | CC BY-SA 3.0 |