Transactions of the American Mathematical Society

Author(s): Ada Chan; Chris Godsil; Akihiro Munemasa
Journal: Trans. Amer. Math. Soc. 355 (2003), 2305-2325.
MSC (2000): Primary 05E30; Secondary 20F36
Posted: January 31, 2003
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Abstract: We introduce and discuss Jones pairs. These provide a generalization and a new approach to the four-weight spin models of Bannai and Bannai. We show that each four-weight spin model determines a ``dual'' pair of association schemes.

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Retrieve articles in Transactions of the American Mathematical Society with MSC (2000): 05E30, 20F36

Ada Chan
Affiliation: Department of Combinatorics and Optimization, University of Waterloo, Waterloo, Ontario, Canada N2L 3G1
Address at time of publication: Department of Mathematics, California Institute of Technology, Pasadena, California 91106
Email: ssachan@alumni.uwaterloo.ca

Chris Godsil
Affiliation: Department of Combinatorics and Optimization, University of Waterloo, Waterloo, Ontario, Canada N2L 3G1
Email: chris@dibbler.uwaterloo.ca

Akihiro Munemasa
Affiliation: Graduate School of Mathematics, Kyushu University, Fukuoka, 812-8581, Japan
Email: munemasa@math.kyushu-u.ac.jp

DOI: 10.1090/S0002-9947-03-03253-7
PII: S 0002-9947(03)03253-7
Received by editor(s): November 9, 2001
Posted: January 31, 2003
Additional Notes: Support from a National Sciences and Engineering Council of Canada operating grant is gratefully acknowledged by the second author.
Copyright of article: Copyright 2003, American Mathematical Society

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