The Duals of the 2-Modular Irreducible Modules of the Alternating Groups
We determine the dual modules of all irreducible modules of alternating groups over fields of characteristic 2.
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2018 |
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| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2018
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/209539 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | The Duals of the 2-Modular Irreducible Modules of the Alternating Groups / J. Murray // Symmetry, Integrability and Geometry: Methods and Applications. — 2018. — Т. 14. — Бібліогр.: 9 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
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Murray, J. 2025-11-24T10:47:07Z 2018 The Duals of the 2-Modular Irreducible Modules of the Alternating Groups / J. Murray // Symmetry, Integrability and Geometry: Methods and Applications. — 2018. — Т. 14. — Бібліогр.: 9 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 20C30 arXiv: 1711.06009 https://nasplib.isofts.kiev.ua/handle/123456789/209539 https://doi.org/10.3842/SIGMA.2018.033 We determine the dual modules of all irreducible modules of alternating groups over fields of characteristic 2. D. Benson told me that it was an open problem to determine the self-dual irreducible kAn-modules. G.E. Andrews directed me to Bressoud’s paper [5]. We also thank the anonymous referees for their comments, which helped to improve the clarity of this paper. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications The Duals of the 2-Modular Irreducible Modules of the Alternating Groups Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
The Duals of the 2-Modular Irreducible Modules of the Alternating Groups |
| spellingShingle |
The Duals of the 2-Modular Irreducible Modules of the Alternating Groups Murray, J. |
| title_short |
The Duals of the 2-Modular Irreducible Modules of the Alternating Groups |
| title_full |
The Duals of the 2-Modular Irreducible Modules of the Alternating Groups |
| title_fullStr |
The Duals of the 2-Modular Irreducible Modules of the Alternating Groups |
| title_full_unstemmed |
The Duals of the 2-Modular Irreducible Modules of the Alternating Groups |
| title_sort |
duals of the 2-modular irreducible modules of the alternating groups |
| author |
Murray, J. |
| author_facet |
Murray, J. |
| publishDate |
2018 |
| language |
English |
| container_title |
Symmetry, Integrability and Geometry: Methods and Applications |
| publisher |
Інститут математики НАН України |
| format |
Article |
| description |
We determine the dual modules of all irreducible modules of alternating groups over fields of characteristic 2.
|
| issn |
1815-0659 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/209539 |
| citation_txt |
The Duals of the 2-Modular Irreducible Modules of the Alternating Groups / J. Murray // Symmetry, Integrability and Geometry: Methods and Applications. — 2018. — Т. 14. — Бібліогр.: 9 назв. — англ. |
| work_keys_str_mv |
AT murrayj thedualsofthe2modularirreduciblemodulesofthealternatinggroups AT murrayj dualsofthe2modularirreduciblemodulesofthealternatinggroups |
| first_indexed |
2025-12-02T23:28:31Z |
| last_indexed |
2025-12-02T23:28:31Z |
| _version_ |
1850885973494202368 |