Labelling the character tables of symmetric and alternating groups
| dc.creator | Wildon, Mark | |
| dc.date | 2006-12-11 | |
| dc.date.accessioned | 2026-07-07T06:34:29Z | |
| dc.date.available | 2026-07-07T06:34:29Z | |
| dc.description | Let $X$ be a character table of the symmetric group $S_n$. It is shown that unless $n = 4$ or $n=6$, there is a unique way to assign partitions of $n$ to the rows and columns of $X$ so that for all $λ$ and $ν$, $X_{λν}$ is equal to $χ^λ(ν)$, the value of the irreducible character of $S_n$ labelled by $λ$ on elements of cycle type $ν$. Analogous results are proved for alternating groups, and for the Brauer character tables of symmetric and alternating groups. | |
| dc.description | 12 pages | |
| dc.identifier | https://arxiv.org/abs/math/0612292 | |
| dc.identifier | http://arxiv.org/abs/math/0612292 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/99543 | |
| dc.subject | Representation Theory | |
| dc.subject | 20C30; 20C20 | |
| dc.title | Labelling the character tables of symmetric and alternating groups | |
| dc.type | text |