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Tabular algebras and their asymptotic versions.

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Tabular algebras and their asymptotic versions. / Green, Richard.
In: Journal of Algebra, Vol. 252, No. 1, 01.06.2002, p. 27-64.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Green, R 2002, 'Tabular algebras and their asymptotic versions.', Journal of Algebra, vol. 252, no. 1, pp. 27-64. https://doi.org/10.1016/S0021-8693(02)00002-9

APA

Green, R. (2002). Tabular algebras and their asymptotic versions. Journal of Algebra, 252(1), 27-64. https://doi.org/10.1016/S0021-8693(02)00002-9

Vancouver

Green R. Tabular algebras and their asymptotic versions. Journal of Algebra. 2002 Jun 1;252(1):27-64. doi: 10.1016/S0021-8693(02)00002-9

Author

Green, Richard. / Tabular algebras and their asymptotic versions. In: Journal of Algebra. 2002 ; Vol. 252, No. 1. pp. 27-64.

Bibtex

@article{d086e90d70944d9389787757f9e4fc74,
title = "Tabular algebras and their asymptotic versions.",
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.",
keywords = "Table algebra, Cellular algebra, Hypergroup",
author = "Richard Green",
year = "2002",
month = jun,
day = "1",
doi = "10.1016/S0021-8693(02)00002-9",
language = "English",
volume = "252",
pages = "27--64",
journal = "Journal of Algebra",
issn = "0021-8693",
publisher = "ELSEVIER ACADEMIC PRESS INC",
number = "1",

}

RIS

TY - JOUR

T1 - Tabular algebras and their asymptotic versions.

AU - Green, Richard

PY - 2002/6/1

Y1 - 2002/6/1

N2 - 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.

AB - 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.

KW - Table algebra

KW - Cellular algebra

KW - Hypergroup

U2 - 10.1016/S0021-8693(02)00002-9

DO - 10.1016/S0021-8693(02)00002-9

M3 - Journal article

VL - 252

SP - 27

EP - 64

JO - Journal of Algebra

JF - Journal of Algebra

SN - 0021-8693

IS - 1

ER -