Timeline for Bivariate polynomials with special properties
Current License: CC BY-SA 2.5
8 events
when toggle format | what | by | license | comment | |
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Mar 25, 2011 at 9:34 | vote | accept | Per Alexandersson | ||
Mar 22, 2011 at 8:10 | answer | added | Johann Cigler | timeline score: 3 | |
Mar 22, 2011 at 7:55 | comment | added | Johann Cigler | My first remark is not correct. I have overlooked a term in p(5). See my answer. | |
Mar 21, 2011 at 20:24 | comment | added | Johann Cigler | I am not familiar with group representations. I simply looked for some regularities. The obvious one is for u=0 which gives p(n)=vp(n-1)+p(n-3) if the rest of the sequence behaves in the same way. | |
Mar 21, 2011 at 18:38 | comment | added | ARupinski | @Johann: That relation is related to the characters of $SU(3)$, relative to my nomenclature below, $Sym^k(V_2) = v\cdot Sym^{k-1}(V_2)\ominus u\cdot Sym^{k-2}(V_2)\oplus Sym^{k-3}(V_2)$. Did you use the answer about SU(3) as inspiration to look at this relation, or did you see this relation some other way? | |
Mar 21, 2011 at 17:59 | comment | added | Johann Cigler | Could you please give some more terms of your sequence? In the given sequence p(n)-vp(n-1)+up(n-2)-p(n-3) is 2u,-2uv,2u^2,-2u. Perhaps there is some regularity in this sequence? | |
Mar 21, 2011 at 17:08 | answer | added | ARupinski | timeline score: 9 | |
Mar 21, 2011 at 16:29 | history | asked | Per Alexandersson | CC BY-SA 2.5 |