James' Submodule Theorem and the Steinberg Module

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Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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Symmetry, Integrability and Geometry: Methods and Applications, 2017, том 13
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dc.contributor.author	Geck, M.
dc.date.accessioned	2019-02-19T19:32:10Z
dc.date.available	2019-02-19T19:32:10Z
dc.date.issued	2017
dc.identifier.citation	James' Submodule Theorem and the Steinberg Module / M. Geck // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 10 назв. — англ.	uk_UA
dc.identifier.issn	1815-0659
dc.identifier.other	2010 Mathematics Subject Classification: 20C33; 20C20
dc.identifier.other	DOI:10.3842/SIGMA.2017.091
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/149266
dc.description.abstract	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.	uk_UA
dc.description.sponsorship	This paper is a contribution to the Special Issue on the Representation Theory of the Symmetric Groups and Related Topics. The full collection is available at https://www.emis.de/journals/SIGMA/symmetric-groups2018.html.	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут математики НАН України	uk_UA
dc.relation.ispartof	Symmetry, Integrability and Geometry: Methods and Applications
dc.title	James' Submodule Theorem and the Steinberg Module	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA