Four-weight spin models and Jones pairs
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- by Ada Chan, Chris Godsil and Akihiro Munemasa PDF
- Trans. Amer. Math. Soc. 355 (2003), 2305-2325 Request permission
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.References
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Additional Information
- 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
- Received by editor(s): November 9, 2001
- Published electronically: 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 2003 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 355 (2003), 2305-2325
- MSC (2000): Primary 05E30; Secondary 20F36
- DOI: https://doi.org/10.1090/S0002-9947-03-03253-7
- MathSciNet review: 1973991