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

Official URL: http://dx.doi.org/10.1016/S0021-8693(02)00002-9

## 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 |
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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: | 21 Oct 2017 01:16 |

Identification Number: | |

URI: | http://eprints.lancs.ac.uk/id/eprint/19266 |

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