Four-weight spin models and Jones pairs

Author:

Chan Ada,Godsil Chris,Munemasa Akihiro

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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference12 articles.

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4. Chris D. Godsil, Symmetric designs, two-graphs and type II matrices, preprint (2001).

5. Some remarks on four-weight spin models;Huang, Tayuan;Ann. Comb.,2000

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1. S-Rings, Gelfand Pairs and Association Schemes;Group Matrices, Group Determinants and Representation Theory;2019

2. Commutative association schemes;European Journal of Combinatorics;2009-08

3. Equiangular lines, mutually unbiased bases, and spin models;European Journal of Combinatorics;2009-01

4. Bose–Mesner algebras attached to invertible Jones pairs;Journal of Combinatorial Theory, Series A;2004-05

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