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Tabular algebras and their asymptotic versions

R. M. Green
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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.

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R. M. Green. 2001-07-31. Tabular algebras and their asymptotic versions. https://arxiv.org/abs/math/0107230

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