Timeline for Infinite dimensional involutions: infinitely large sets of multivariate polynomials self-inverse under self-substitution
Current License: CC BY-SA 4.0
7 events
| when toggle format | what | by | license | comment | |
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| Aug 30 at 19:12 | comment | added | Tom Copeland | The 3-rd order polynomial of A088617 (reversed order is A060693), a reduction of A350499, the coefficients of the partition polynomials of $[N]^{−1}$ appears as an example for eqn. 4 on pg. 7 of "Koszulity of dual braid monoid algebras via cluster complexes" by Josuat-Vergès & Nadeau (arxiv.org/abs/2107.13442. | |
| Jul 27 at 16:50 | comment | added | Tom Copeland | The reduction (unsigned) of $[A^{(-2)}]$ to A286784 is also found in Table 3 on p. 17 of "A Subfamily of Skew Dyck Paths Related to k-ary Trees" by Yuxuan Zhang and Yan Zhuang (cs.uwaterloo.ca/journals/JIS/VOL27/Zhuang/zhuang2.pdf). A reduction (unsigned) of $[A^{(-3)}]$ is in Table 4 on p. 18. | |
| Mar 5, 2023 at 3:50 | comment | added | Tom Copeland | In "Hopf Algebras of m-permutations, (m+1)-ary trees, and m-parking functions" by Novelli and Thibon , variants of reduced $[A^{(m)}]$ in Figs. 7, 10, and 11 are called modified or reversed x = (1+q) Narayana triangles and variants of the reduced $[N^{(m)}]$ in Figs. 4 , 5 and 6, the m-Narayana triangles. For the diagonals or first columns, depending on the presentation of reduced $[A^{(m)}]$ , see "A combinatorial interpretation for n-ary trees for negative n" (mathoverflow.net/questions/441724/…). | |
| Mar 2, 2023 at 19:50 | history | edited | Tom Copeland | CC BY-SA 4.0 |
Some exponents corrected, notation improved/corrected
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| Feb 26, 2023 at 5:02 | history | edited | Tom Copeland | CC BY-SA 4.0 |
Corrected moment-cumulant relation, added lowering op
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| Feb 25, 2023 at 20:38 | history | edited | Tom Copeland | CC BY-SA 4.0 |
Added natural reductions
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| Feb 25, 2023 at 2:05 | history | answered | Tom Copeland | CC BY-SA 4.0 |