Multiplicity-free representations of symmetric groups
| dc.creator | Wildon, Mark | |
| dc.date | 2009-03-16 | |
| dc.date.accessioned | 2026-07-07T12:53:05Z | |
| dc.date.available | 2026-07-07T12:53:05Z | |
| dc.description | Building on work of Saxl, we classify the multiplicity-free permutation characters of all symmetric groups of degree 66 or more. A corollary is a complete list of the irreducible characters of symmetric groups (again of degree 66 or more) which may appear in a multiplicity-free permutation representation. The multiplicity-free characters in a related family of monomial characters are also classified. We end by investigating a consequence of these results for Specht filtrations of permutation modules defined over fields of prime characteristic. Remark: parallel work of Godsil and Meagher (arXiv:math/0612567) gives an independent classification of the multiplicity-free permutation characters of symmetric groups of all degrees. | |
| dc.description | 23 pages, 4 figures | |
| dc.identifier | https://arxiv.org/abs/0903.2864 | |
| dc.identifier | http://arxiv.org/abs/0903.2864 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/223505 | |
| dc.subject | Representation Theory | |
| dc.subject | 20C30; 20C20 | |
| dc.title | Multiplicity-free representations of symmetric groups | |
| dc.type | text |