Danz, Susanne and Ellers, Harald and Murray, John
(2010)
The Centralizer of a subgroup in a group algebra.
Proceedings of the Edinburgh Mathematical Society.
ISSN 14643839
(Unpublished)
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 psolvable 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: 

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