Murray, John
(2004)
Generators for the centre of the group algebra of a symmetric group.
Journal of Algebra, 271 (2).
pp. 725748.
ISSN 00218693
Abstract
The ring of symmetric functions is used to obtain an explicit set of generators for the centre of the integral group algebra of a symmetric group, different to those given by H.K. Farahat and G. Higman. This generating set is used to shows that the centre of the 2modular group algebra is generated by certain sums of 2classes.
Proper subalgebras of the centre of the 2modular group algebra are studied in the context of symmetric functions. These include the algebra that is the span of the 2regular class sums, and the algebra that is generated by the involution class sums. Various related subalgebras of the modular ring of symmetric functions are shown to be polynomial algebras, and furnished with explicit sets of algebraically independent generators.
Item Type: 
Article

Keywords: 
Generators; group algebra; symmetric group;

Academic Unit: 
Faculty of Science and Engineering > Mathematics and Statistics 
Item ID: 
2035 
Depositing User: 
Dr. John Murray

Date Deposited: 
06 Jul 2010 14:56 
Journal or Publication Title: 
Journal of Algebra 
Publisher: 
Elsevier 
Refereed: 
No 
URI: 

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