Tabular algebras and their asymptotic versions
Quantum Algebra
2007-05-23 v1
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.
Cite
@article{arxiv.math/0107230,
title = {Tabular algebras and their asymptotic versions},
author = {R. M. Green},
journal= {arXiv preprint arXiv:math/0107230},
year = {2007}
}
Comments
46 pages, AMSTeX