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Ellers, Harald and Murray, John (2007) Branching Rules for Specht Modules. Journal of Alegbra, 307 (1). pp. 278-286. ISSN 0021-8693
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Abstract
Let n be the symmetric group of degree n, and let F be a eld
of characteristic distinct from 2. Let S F be the Specht module over Fn corresponding
to the partition of n. We nd the indecomposable components of
the restricted module S
F #n1 and the induced module S
F "n+1 . Namely,
if b and B are block idempotents of Fn1 and Fn+1 respectively, then
the modules S
F #n1
b and S
F "n+1 B are 0 or indecomposable. We give
examples to show that the assumption char F 6= 2 cannot be dropped.
| Item Type: | Article |
|---|---|
| Keywords: | Branching Rules; Specht Modules; |
| Academic Unit: | Faculty of Science and Engineering > Mathematics and Statistics |
| Item ID: | 2033 |
| Depositing User: | Dr. John Murray |
| Date Deposited: | 06 Jul 2010 14:54 |
| Journal or Publication Title: | Journal of Alegbra |
| Publisher: | Elsevier |
| Refereed: | No |
| Related URLs: | |
| 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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