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:
Journal Article
Journal or Publication Title:
Journal of Algebra
Uncontrolled Keywords:
/dk/atira/pure/subjectarea/asjc/2600/2602
Subjects:
?? table algebracellular algebrahypergroupalgebra and number theoryqa mathematics ??
ID Code:
19266
Deposited By:
Deposited On:
19 Nov 2008 13:42
Refereed?:
Yes
Published?:
Published
Last Modified:
15 Jul 2024 09:41