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Danz, Susanne, Ellers, Harald and Murray, John (2010) The Centralizer of a subgroup in a group algebra. Proceedings of the Edinburgh Mathematical Society. ISSN 1464-3839 (Unpublished)
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Abstract
If R is a commutative ring, G is a nite group, and H is a subgroup of G, then
the centralizer algebra RGH is the set of all elements of RG that commute with all
elements of H. The algebra RGH is a Hecke algebra in the sense that it is isomorphic
to EndRHG(RG) = EndRHG(1H
HG). The authors have been studying the
representation theory of these algebras in several recent and not so recent papers
[4], [5], [6], [7], [10], [11], mainly in cases where G is p-solvable and H is normal,
or when G = Sn and H = Sm for n
| Item Type: | Article |
|---|---|
| Keywords: | Centralizer; subgroup; group algebra; |
| Academic Unit: | Faculty of Science and Engineering > Mathematics and Statistics |
| Item ID: | 2059 |
| Depositing User: | Dr. John Murray |
| Date Deposited: | 20 Jul 2010 15:58 |
| Journal or Publication Title: | Proceedings of the Edinburgh Mathematical Society |
| Publisher: | Cambridge University Press |
| Refereed: | No |
| URI: | https://mu.eprints-hosting.org/id/eprint/2059 |
| Use Licence: | This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here |
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