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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2024 MCQ for Transactions of the American Mathematical Society is 1.48 .

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Four-weight spin models and Jones pairs
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by Ada Chan, Chris Godsil and Akihiro Munemasa
Trans. Amer. Math. Soc. 355 (2003), 2305-2325
DOI: https://doi.org/10.1090/S0002-9947-03-03253-7
Published electronically: January 31, 2003

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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Bibliographic 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