Some $q$-analogues of the Certer-Payne theorem
| dc.creator | Lyle, Sinead | |
| dc.date | 2006-04-10 | |
| dc.date.accessioned | 2026-07-07T07:10:43Z | |
| dc.date.available | 2026-07-07T07:10:43Z | |
| dc.description | We prove a $q$-analogue of the Carter-Payne theorem for the two special cases corresponding to moving an arbitrary number of nodes between adjacent rows, or moving one node between an arbitrary number of rows. As a consequence, we show that these homomorphism spaces are one dimensional when $q \neq -1$. We apply these results to complete the classification of the reducible Specht modules for the Hecke algebras of the symmetric groups when $q \neq-1$. Our methods can also be used to determine certain other pairs of Specht modules between which there is a homomorphism. In particular, we describe the homomorphism space from the trivial module to an arbitrary Specht module. | |
| dc.description | 23 pages | |
| dc.identifier | https://arxiv.org/abs/math/0604216 | |
| dc.identifier | http://arxiv.org/abs/math/0604216 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/111507 | |
| dc.subject | Representation Theory | |
| dc.subject | Combinatorics | |
| dc.subject | 20C08 | |
| dc.title | Some $q$-analogues of the Certer-Payne theorem | |
| dc.type | text |