Timeline for Reciprocity for fans of bounded Dyck paths
Current License: CC BY-SA 4.0
12 events
| when toggle format | what | by | license | comment | |
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| Jan 3, 2023 at 1:56 | history | edited | Sam Hopkins | CC BY-SA 4.0 |
added 283 characters in body
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| Oct 1, 2020 at 13:48 | history | edited | Sam Hopkins | CC BY-SA 4.0 |
added 25 characters in body
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| Oct 1, 2020 at 13:46 | comment | added | LSpice | If you're a fan of bounded Dyck paths, have I got some reciprocity for you! | |
| Oct 1, 2020 at 13:36 | history | edited | Sam Hopkins | CC BY-SA 4.0 |
added 18 characters in body
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| Oct 1, 2020 at 13:29 | vote | accept | Sam Hopkins | ||
| Oct 1, 2020 at 11:18 | history | became hot network question | |||
| Oct 1, 2020 at 8:19 | answer | added | Gjergji Zaimi | timeline score: 6 | |
| Oct 1, 2020 at 7:01 | comment | added | Martin Rubey | What I meant to ask is: what does the reciprocity mean in terms of semistandard tableaux. | |
| Oct 1, 2020 at 6:54 | comment | added | Per Alexandersson | The sequence $n \mapsto |SSYT(n\lambda,m)|$ is a polynomial in n, and thus satisfies a linear recursion. Perhaps its something like this? | |
| Oct 1, 2020 at 6:10 | comment | added | Martin Rubey | I wonder what this might mean in terms of semistandard tableaux! (I can only look into it later today) | |
| Oct 1, 2020 at 4:53 | comment | added | Max Alekseyev | You can safely drop the word "conjecture" from "Conjecture/Proposition" - its argument is valid. Furthermore, the reciprocity in question would follow from the relationship between the transfer matrices for $(k,i)$ and $(k,k+1-i)$ -- their characteristic polynomials appear to be negated reciprocals of each other. I've tested this for many small values of $k,i$. | |
| Oct 1, 2020 at 3:13 | history | asked | Sam Hopkins | CC BY-SA 4.0 |