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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
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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://mu.eprints-hosting.org/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 |
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