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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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: Journal Article
Journal or Publication Title: Journal of Algebra
Uncontrolled Keywords: /dk/atira/pure/researchoutput/libraryofcongress/qa
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: 01 Jan 2020 06:13

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