James' Submodule Theorem and the Steinberg Module
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
James' Submodule Theorem and the Steinberg Module
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| Creator |
Geck, M.
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| 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.
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| Date |
2019-02-19T19:32:10Z
2019-02-19T19:32:10Z 2017 |
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| Type |
Article
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| Identifier |
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 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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