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Tabular algebras and their asymptotic versions.

Green, Richard (2002) Tabular algebras and their asymptotic versions. Journal of Algebra, 252 (1). pp. 27-64. ISSN 0021-8693

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Abstract

We introduce tabular algebras, which are simultaneous generalizations of cellular algebras (in the sense of Graham–Lehrer) and table algebras (in the sense of Arad–Blau). We show that if a tabular algebra is equipped with a certain kind of trace map then the algebra has a corresponding asymptotic version whose structure can be explicitly determined. We also study various natural examples of tabular algebras.

Item Type: Article
Journal or Publication Title: Journal of Algebra
Uncontrolled Keywords: Table algebra ; Cellular algebra ; Hypergroup
Subjects: Q Science > QA Mathematics
Departments: Faculty of Science and Technology > Mathematics and Statistics
ID Code: 19266
Deposited By: ep_ss_importer
Deposited On: 19 Nov 2008 13:42
Refereed?: Yes
Published?: Published
Last Modified: 26 Jul 2012 15:27
Identification Number:
URI: http://eprints.lancs.ac.uk/id/eprint/19266

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