Parities of v-decomposition numbers and an application to symmetric group algebras
| dc.creator | Tan, Kai Meng | |
| dc.date | 2006-06-19 | |
| dc.date | 2006-09-05 | |
| dc.date.accessioned | 2026-07-07T07:17:27Z | |
| dc.date.available | 2026-07-07T07:17:27Z | |
| dc.description | We prove that the v-decomposition number $d_{λμ}(v)$ is an even or odd polynomial according to whether the partitions $λ$ and $μ$ have the same relative sign (or parity) or not. We then use this result to verify Martin's conjecture for weight 3 blocks of symmetric group algebras -- that these blocks have the property that their projective (indecomposable) modules have a common radical length 7. | |
| dc.description | 21 pages | |
| dc.identifier | https://arxiv.org/abs/math/0606460 | |
| dc.identifier | http://arxiv.org/abs/math/0606460 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/113944 | |
| dc.subject | Representation Theory | |
| dc.subject | Quantum Algebra | |
| dc.subject | 17B37; 20C30 | |
| dc.title | Parities of v-decomposition numbers and an application to symmetric group algebras | |
| dc.type | text |