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Generalised Burnside rings, G-categories and module categories
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Gunnells, Paul E., Rose, Andrew James and Rumynin, Dmitriy (2012) Generalised Burnside rings, G-categories and module categories. Journal of Algebra, Vol.358 . pp. 33-50. doi:10.1016/j.jalgebra.2012.02.016 ISSN 0021-8693.
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Official URL: http://dx.doi.org/10.1016/j.jalgebra.2012.02.016
Abstract
This note describes an application of the theory of generalised Burnside rings to algebraic representation theory. Tables of marks are given explicitly for the groups S4 and S5 which are of particular interest in the context of reductive algebraic groups. As an application, the base sets for the nilpotent element F4(a3) are computed.
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Journal or Publication Title: | Journal of Algebra | ||||
Publisher: | Academic Press Inc Elsevier Science | ||||
ISSN: | 0021-8693 | ||||
Official Date: | 15 May 2012 | ||||
Dates: |
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Volume: | Vol.358 | ||||
Page Range: | pp. 33-50 | ||||
DOI: | 10.1016/j.jalgebra.2012.02.016 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access |
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