Journal article
On Young modules of general linear groups,
- Abstract:
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We study ℓ-permutation modules of finite general linear groups GLn(q) acting on partial flags in the natural module, where the coefficient field of the modules has characteristic ℓ, for ℓandnmid;q. We call the indecomposable summands of these permutation modules linear Young modules. We determine their vertices and Green correspondents, by methods relying only on the representation theory of GLn(q).
Furthermore, we show that when the multiplicative order of q modulo ℓ is st...
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- Publication status:
- Published
- Peer review status:
- Peer reviewed
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(Preview, Version of record, pdf, 204.5KB, Terms of use)
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- Publisher copy:
- 10.1016/j.jalgebra.2006.11.004
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Bibliographic Details
- Publisher:
- Elsevier
- Journal:
- Journal of Algebra More from this journal
- Volume:
- 310
- Issue:
- 1
- Pages:
- 434-451
- Publication date:
- 2007-04-01
- DOI:
- ISSN:
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0021-8693
Item Description
- Keywords:
- UUID:
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uuid:d94ac97e-11ae-4e59-af1f-fedf62465681
- Local pid:
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pubs:30231
- Source identifiers:
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30231
- Deposit date:
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2012-12-19
Terms of use
- Copyright holder:
- Elsevier BV
- Copyright date:
- 2007
- Notes:
- Copyright 2006 Elsevier B.V. All rights reserved. Re-use of this article is permitted in accordance with the Terms and Conditions set out at http://www.elsevier.com/open-access/userlicense/1.0/
- Licence:
- Other
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