James' Submodule Theorem and the Steinberg Module
James' submodule theorem is a fundamental result in the representation theory of the symmetric groups and the finite general linear groups. In this note we consider a version of that theorem for a general finite group with a split BN-pair. This gives rise to a distinguished composition factor o...
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| Дата: | 2017 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2017
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/149266 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | James' Submodule Theorem and the Steinberg Module / M. Geck // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 10 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
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irk-123456789-1492662019-02-20T01:23:40Z James' Submodule Theorem and the Steinberg Module Geck, M. James' submodule theorem is a fundamental result in the representation theory of the symmetric groups and the finite general linear groups. In this note we consider a version of that theorem for a general finite group with a split BN-pair. This gives rise to a distinguished composition factor of the Steinberg module, first described by Hiss via a somewhat different method. It is a major open problem to determine the dimension of this composition factor. 2017 Article James' Submodule Theorem and the Steinberg Module / M. Geck // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 10 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 20C33; 20C20 DOI:10.3842/SIGMA.2017.091 http://dspace.nbuv.gov.ua/handle/123456789/149266 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
James' submodule theorem is a fundamental result in the representation theory of the symmetric groups and the finite general linear groups. In this note we consider a version of that theorem for a general finite group with a split BN-pair. This gives rise to a distinguished composition factor of the Steinberg module, first described by Hiss via a somewhat different method. It is a major open problem to determine the dimension of this composition factor. |
| format |
Article |
| author |
Geck, M. |
| spellingShingle |
Geck, M. James' Submodule Theorem and the Steinberg Module Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Geck, M. |
| author_sort |
Geck, M. |
| title |
James' Submodule Theorem and the Steinberg Module |
| title_short |
James' Submodule Theorem and the Steinberg Module |
| title_full |
James' Submodule Theorem and the Steinberg Module |
| title_fullStr |
James' Submodule Theorem and the Steinberg Module |
| title_full_unstemmed |
James' Submodule Theorem and the Steinberg Module |
| title_sort |
james' submodule theorem and the steinberg module |
| publisher |
Інститут математики НАН України |
| publishDate |
2017 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/149266 |
| citation_txt |
James' Submodule Theorem and the Steinberg Module / M. Geck // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 10 назв. — англ. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT geckm jamessubmoduletheoremandthesteinbergmodule |
| first_indexed |
2023-05-20T17:31:43Z |
| last_indexed |
2023-05-20T17:31:43Z |
| _version_ |
1796153494041788416 |