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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Veröffentlicht in:Symmetry, Integrability and Geometry: Methods and Applications
Datum:2018
ISSN:1815-0659
1. Verfasser: Murray, J.
Format: Artikel
Sprache:Englisch
Veröffentlicht: Інститут математики НАН України 2018
Online Zugang:https://nasplib.isofts.kiev.ua/handle/123456789/209539
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Zitieren: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
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author Murray, J.
author_facet Murray, J.
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.
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container_title Symmetry, Integrability and Geometry: Methods and Applications
description We determine the dual modules of all irreducible modules of alternating groups over fields of characteristic 2.
first_indexed 2025-12-02T23:28:31Z
format Article
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institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
issn 1815-0659
language English
last_indexed 2025-12-02T23:28:31Z
publishDate 2018
publisher Інститут математики НАН України
record_format dspace
spelling 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
spellingShingle The Duals of the 2-Modular Irreducible Modules of the Alternating Groups
Murray, J.
title 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_short 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
url https://nasplib.isofts.kiev.ua/handle/123456789/209539
work_keys_str_mv AT murrayj thedualsofthe2modularirreduciblemodulesofthealternatinggroups
AT murrayj dualsofthe2modularirreduciblemodulesofthealternatinggroups