Timeline for Is a complete homogeneous symmetric polynomial irreducible?
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4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| May 26, 2012 at 19:52 | comment | added | Patricia Hersh | This makes me curious for $n\le a+1$ if there is any more general result (i.e. not just for homogeneous symmetric functions) about when irreducibility in the ring of symmetric functions implies irreducibility in ${\bf Q}[x_1,\dots ,x_n]$. But then I guess there are examples like the square of the Vandermonde determinant that limit how much one can hope for. | |
| May 26, 2012 at 17:00 | comment | added | Will Sawin | The main theorem of that paper requires, in our notation, $n>a+1$, the case Patricia Hersh already handled. | |
| May 26, 2012 at 16:58 | comment | added | Chandan Singh Dalawat | A related paper of Schinzel seems to be *Reducibility of a special symmetric form, Acta Mathematica Universitatis Ostraviensis, vol. 14 (2006), issue 1, pp. 71-74 (dml.cz/handle/10338.dmlcz/137486) | |
| May 26, 2012 at 16:43 | history | answered | Igor Rivin | CC BY-SA 3.0 |