Share and Export
Share and Export
Ellers, Harald and Murray, John (2010) Carter–Payne homomorphisms and branching rules for endomorphism rings of Specht modules. Journal of Group Theory, 13 (4). pp. 477-501. ISSN 1433-5883
![[thumbnail of JM_carter_payne.pdf]](https://mural.maynoothuniversity.ie/style/images/fileicons/application_pdf.png "JM_carter_payne.pdf")
PDF
JM_carter_payne.pdf
Download (257kB)
Abstract
Let n be the symmetric group of degree n, and let F be a field
of characteristic p 6= 2. Suppose that is a partition of n+1, that and are
partitions of n that can be obtained by removing a node of the same residue
from , and that dominates . Let S and S be the Specht modules, defined
over F, corresponding to , respectively . We give a very simple description
of a non-zero homomorphism : S → S and present a combinatorial proof
of the fact that dimHomFn(S , S ) = 1. As an application, we describe
completely the structure of the ring EndFn(S ↓n ). Our methods furnish
a lower bound for the Jantzen submodule of S that contains the image of .
| Item Type: | Article |
|---|---|
| Keywords: | Carter–Payne homomorphisms; branching rules; endomorphism rings; Specht modules; |
| Academic Unit: | Faculty of Science and Engineering > Mathematics and Statistics |
| Item ID: | 2058 |
| Depositing User: | Dr. John Murray |
| Date Deposited: | 20 Jul 2010 15:57 |
| Journal or Publication Title: | Journal of Group Theory |
| Publisher: | de Gruyter |
| Refereed: | No |
| Related URLs: | |
| URI: | https://mural.maynoothuniversity.ie/id/eprint/2058 |
| Use Licence: | This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here |
Repository Staff Only (login required)
- Item control page
Downloads
Downloads per month over past year
